11931881644032 has 896 divisors, whose sum is σ = 39642812743680. Its totient is φ = 3117384990720.

The previous prime is 11931881644013. The next prime is 11931881644051. The reversal of 11931881644032 is 23044618813911.

It is an interprime number because it is at equal distance from previous prime (11931881644013) and next prime (11931881644051).

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×11931881644032² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10916634078 + ... + 10916635170.

Almost surely, 2^{11931881644032} is an apocalyptic number.

11931881644032 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 11931881644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19821406371840).

11931881644032 is an abundant number, since it is smaller than the sum of its proper divisors (27710931099648).

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

11931881644032 is a wasteful number, since it uses less digits than its factorization.

11931881644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 11931881644032 in words is "eleven trillion, nine hundred thirty-one billion, eight hundred eighty-one million, six hundred forty-four thousand, thirty-two".