1233725953152 has 512 divisors, whose sum is σ = 4238165606400. Its totient is φ = 308593152000.

The previous prime is 1233725953093. The next prime is 1233725953153. The reversal of 1233725953152 is 2513595273321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1233725953153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193401099 + ... + 193407477.

It is an arithmetic number, because the mean of its divisors is an integer number (8277667200).

Almost surely, 2^{1233725953152} is an apocalyptic number.

1233725953152 is a gapful number since it is divisible by the number (12) 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 1233725953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119082803200).

1233725953152 is an abundant number, since it is smaller than the sum of its proper divisors (3004439653248).

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

1233725953152 is a wasteful number, since it uses less digits than its factorization.

1233725953152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6644 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 48.

The spelling of 1233725953152 in words is "one trillion, two hundred thirty-three billion, seven hundred twenty-five million, nine hundred fifty-three thousand, one hundred fifty-two".