18964960117992 has 384 divisors, whose sum is σ = 63969015168000. Its totient is φ = 5184841052160.

The previous prime is 18964960117991. The next prime is 18964960118003. The reversal of 18964960117992 is 29971106946981.

18964960117992 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 4 + 9 + 601 + 1 + 7 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×18964960117992² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18964960117992.

It is not an unprimeable number, because it can be changed into a prime (18964960117991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28876528 + ... + 29525984.

It is an arithmetic number, because the mean of its divisors is an integer number (166585977000).

Almost surely, 2^{18964960117992} is an apocalyptic number.

18964960117992 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 18964960117992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31984507584000).

18964960117992 is an abundant number, since it is smaller than the sum of its proper divisors (45004055050008).

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

18964960117992 is a wasteful number, since it uses less digits than its factorization.

18964960117992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649606 (or 649589 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 18964960117992 in words is "eighteen trillion, nine hundred sixty-four billion, nine hundred sixty million, one hundred seventeen thousand, nine hundred ninety-two".