18489345638400 has 2040 divisors, whose sum is σ = 84358813926464. Its totient is φ = 3898500710400.

The previous prime is 18489345638389. The next prime is 18489345638437. The reversal of 18489345638400 is 483654398481.

18489345638400 is a `hidden beast` number, since 1 + 8 + 48 + 93 + 45 + 63 + 8 + 400 = 666.

It is a super-2 number, since 2×18489345638400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12076645635 + ... + 12076647165.

Almost surely, 2^{18489345638400} is an apocalyptic number.

18489345638400 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 18489345638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42179406963232).

18489345638400 is an abundant number, since it is smaller than the sum of its proper divisors (65869468288064).

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

18489345638400 is an equidigital number, since it uses as much as digits as its factorization.

18489345638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 18489345638400 in words is "eighteen trillion, four hundred eighty-nine billion, three hundred forty-five million, six hundred thirty-eight thousand, four hundred".