12031910998464 has 224 divisors, whose sum is σ = 37003632546816. Its totient is φ = 3379458908160.

The previous prime is 12031910998439. The next prime is 12031910998469. The reversal of 12031910998464 is 46489901913021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031910998469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18647974 + ... + 19282394.

Almost surely, 2^{12031910998464} is an apocalyptic number.

12031910998464 is a gapful number since it is divisible by the number (14) 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 12031910998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501816273408).

12031910998464 is an abundant number, since it is smaller than the sum of its proper divisors (24971721548352).

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

12031910998464 is a wasteful number, since it uses less digits than its factorization.

12031910998464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634683 (or 634673 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 12031910998464 in words is "twelve trillion, thirty-one billion, nine hundred ten million, nine hundred ninety-eight thousand, four hundred sixty-four".