18334642401000 has 384 divisors, whose sum is σ = 65746449100800. Its totient is φ = 4595432486400.

The previous prime is 18334642400951. The next prime is 18334642401029. The reversal of 18334642401000 is 10424643381.

18334642401000 is a `hidden beast` number, since 1 + 8 + 3 + 3 + 4 + 642 + 4 + 0 + 1 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×18334642401000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21294874 + ... + 22139126.

It is an arithmetic number, because the mean of its divisors is an integer number (171214711200).

Almost surely, 2^{18334642401000} is an apocalyptic number.

18334642401000 is a gapful number since it is divisible by the number (10) 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 18334642401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32873224550400).

18334642401000 is an abundant number, since it is smaller than the sum of its proper divisors (47411806699800).

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

18334642401000 is a wasteful number, since it uses less digits than its factorization.

18334642401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844426 (or 844409 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 18334642401000 in words is "eighteen trillion, three hundred thirty-four billion, six hundred forty-two million, four hundred one thousand".