1231933457664 has 1296 divisors, whose sum is σ = 4648864933440. Its totient is φ = 310710435840.

The previous prime is 1231933457581. The next prime is 1231933457683. The reversal of 1231933457664 is 4667543391321.

1231933457664 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 9 + 3 + 3 + 4 + 576 + 64 = 666.

It is a super-2 number, since 2×1231933457664² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1231933457664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3550240339 + ... + 3550240685.

It is an arithmetic number, because the mean of its divisors is an integer number (3587087140).

Almost surely, 2^{1231933457664} is an apocalyptic number.

1231933457664 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 1231933457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324432466720).

1231933457664 is an abundant number, since it is smaller than the sum of its proper divisors (3416931475776).

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

1231933457664 is a wasteful number, since it uses less digits than its factorization.

1231933457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 472 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 1231933457664 in words is "one trillion, two hundred thirty-one billion, nine hundred thirty-three million, four hundred fifty-seven thousand, six hundred sixty-four".