1156031811648 has 896 divisors, whose sum is σ = 4122066432000. Its totient is φ = 317328979968.

The previous prime is 1156031811551. The next prime is 1156031811677. The reversal of 1156031811648 is 8461181306511.

1156031811648 is a `hidden beast` number, since 1 + 1 + 560 + 3 + 1 + 81 + 1 + 6 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1707579886 + ... + 1707580562.

Almost surely, 2^{1156031811648} is an apocalyptic number.

1156031811648 is a gapful number since it is divisible by the number (18) 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 1156031811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061033216000).

1156031811648 is an abundant number, since it is smaller than the sum of its proper divisors (2966034620352).

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

1156031811648 is an equidigital number, since it uses as much as digits as its factorization.

1156031811648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1156031811648 in words is "one trillion, one hundred fifty-six billion, thirty-one million, eight hundred eleven thousand, six hundred forty-eight".