1152495983232 has 1152 divisors, whose sum is σ = 4053130099200. Its totient is φ = 324763084800.

The previous prime is 1152495983203. The next prime is 1152495983281. The reversal of 1152495983232 is 2323895942511.

1152495983232 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 49 + 598 + 3 + 2 + 3 + 2 = 666.

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5077074703 + ... + 5077074929.

It is an arithmetic number, because the mean of its divisors is an integer number (3518342100).

Almost surely, 2^{1152495983232} is an apocalyptic number.

1152495983232 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 1152495983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026565049600).

1152495983232 is an abundant number, since it is smaller than the sum of its proper divisors (2900634115968).

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

1152495983232 is a wasteful number, since it uses less digits than its factorization.

1152495983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 333 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 1152495983232 in words is "one trillion, one hundred fifty-two billion, four hundred ninety-five million, nine hundred eighty-three thousand, two hundred thirty-two".