18633901257664 has 168 divisors, whose sum is σ = 46946627457840. Its totient is φ = 7256458137600.

The previous prime is 18633901257659. The next prime is 18633901257703. The reversal of 18633901257664 is 46675210933681.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71932854 + ... + 72191434.

It is a 1-persistent number, because it is pandigital, but 2⋅18633901257664 = 37267802515328 is not.

Almost surely, 2^{18633901257664} is an apocalyptic number.

18633901257664 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 18633901257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23473313728920).

18633901257664 is an abundant number, since it is smaller than the sum of its proper divisors (28312726200176).

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

18633901257664 is a wasteful number, since it uses less digits than its factorization.

18633901257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260707 (or 260690 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 18633901257664 in words is "eighteen trillion, six hundred thirty-three billion, nine hundred one million, two hundred fifty-seven thousand, six hundred sixty-four".