1150712456832 has 384 divisors, whose sum is σ = 3609910886400. Its totient is φ = 350759946240.

The previous prime is 1150712456797. The next prime is 1150712456849. The reversal of 1150712456832 is 2386542170511.

1150712456832 is a `hidden beast` number, since 1 + 1 + 50 + 7 + 1 + 2 + 4 + 568 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1150712456832³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68165769 + ... + 68182647.

It is an arithmetic number, because the mean of its divisors is an integer number (9400809600).

Almost surely, 2^{1150712456832} is an apocalyptic number.

1150712456832 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 1150712456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804955443200).

1150712456832 is an abundant number, since it is smaller than the sum of its proper divisors (2459198429568).

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

1150712456832 is a wasteful number, since it uses less digits than its factorization.

1150712456832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17036 (or 17021 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1150712456832 in words is "one trillion, one hundred fifty billion, seven hundred twelve million, four hundred fifty-six thousand, eight hundred thirty-two".