232714248480 has 1536 divisors, whose sum is σ = 1031873955840. Its totient is φ = 47775744000.

The previous prime is 232714248461. The next prime is 232714248551. The reversal of 232714248480 is 84842417232.

232714248480 is a `hidden beast` number, since 2 + 3 + 2 + 71 + 424 + 84 + 80 = 666.

It is a super-2 number, since 2×232714248480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1285713990 + ... + 1285714170.

It is an arithmetic number, because the mean of its divisors is an integer number (671792940).

Almost surely, 2^232714248480 is an apocalyptic number.

232714248480 is a gapful number since it is divisible by the number (20) 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 232714248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515936977920).

232714248480 is an abundant number, since it is smaller than the sum of its proper divisors (799159707360).

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

232714248480 is a wasteful number, since it uses less digits than its factorization.

232714248480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 232714248480 in words is "two hundred thirty-two billion, seven hundred fourteen million, two hundred forty-eight thousand, four hundred eighty".