232548785263872 has 1152 divisors, whose sum is σ = 877861970657280. Its totient is φ = 58965699133440.

The previous prime is 232548785263867. The next prime is 232548785263877. The reversal of 232548785263872 is 278362587845232.

232548785263872 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 487 + 8 + 5 + 2 + 63 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (232548785263867) and next prime (232548785263877).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 232548785263872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232548785263877) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9930755908 + ... + 9930779324.

It is an arithmetic number, because the mean of its divisors is an integer number (762032960640).

Almost surely, 2^{232548785263872} is an apocalyptic number.

232548785263872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232548785263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438930985328640).

232548785263872 is an abundant number, since it is smaller than the sum of its proper divisors (645313185393408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232548785263872 is a wasteful number, since it uses less digits than its factorization.

232548785263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23904 (or 23884 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 72.

The spelling of 232548785263872 in words is "two hundred thirty-two trillion, five hundred forty-eight billion, seven hundred eighty-five million, two hundred sixty-three thousand, eight hundred seventy-two".