1913007632256 has 768 divisors, whose sum is σ = 7014518784000. Its totient is φ = 506737907712.

The previous prime is 1913007632243. The next prime is 1913007632329. The reversal of 1913007632256 is 6522367003191.

1913007632256 is a `hidden beast` number, since 1 + 9 + 1 + 3 + 0 + 0 + 7 + 632 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194426185 + ... + 194436023.

It is an arithmetic number, because the mean of its divisors is an integer number (9133488000).

Almost surely, 2^{1913007632256} is an apocalyptic number.

1913007632256 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 1913007632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507259392000).

1913007632256 is an abundant number, since it is smaller than the sum of its proper divisors (5101511151744).

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

1913007632256 is an equidigital number, since it uses as much as digits as its factorization.

1913007632256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 1913007632256 in words is "one trillion, nine hundred thirteen billion, seven million, six hundred thirty-two thousand, two hundred fifty-six".