1156278846096 has 640 divisors, whose sum is σ = 3827755008000. Its totient is φ = 330979737600.

The previous prime is 1156278846007. The next prime is 1156278846109. The reversal of 1156278846096 is 6906488726511.

1156278846096 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 2 + 7 + 88 + 460 + 96 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1503613200 + ... + 1503613968.

It is an arithmetic number, because the mean of its divisors is an integer number (5980867200).

Almost surely, 2^{1156278846096} is an apocalyptic number.

1156278846096 is a gapful number since it is divisible by the number (16) 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 1156278846096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913877504000).

1156278846096 is an abundant number, since it is smaller than the sum of its proper divisors (2671476161904).

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

1156278846096 is a wasteful number, since it uses less digits than its factorization.

1156278846096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1156278846096 in words is "one trillion, one hundred fifty-six billion, two hundred seventy-eight million, eight hundred forty-six thousand, ninety-six".