11833831025664 has 528 divisors, whose sum is σ = 34932881988000. Its totient is φ = 3544949194752.

The previous prime is 11833831025623. The next prime is 11833831025671. The reversal of 11833831025664 is 46652013833811.

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 a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51676117902 + ... + 51676118130.

Almost surely, 2^{11833831025664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11833831025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466440994000).

11833831025664 is an abundant number, since it is smaller than the sum of its proper divisors (23099050962336).

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

11833831025664 is a wasteful number, since it uses less digits than its factorization.

11833831025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 11833831025664 in words is "eleven trillion, eight hundred thirty-three billion, eight hundred thirty-one million, twenty-five thousand, six hundred sixty-four".