18669139070400 has 2016 divisors, whose sum is σ = 89676580331520. Its totient is φ = 3707158855680.

The previous prime is 18669139070389. The next prime is 18669139070411. The reversal of 18669139070400 is 407093196681.

18669139070400 is a `hidden beast` number, since 1 + 8 + 66 + 91 + 3 + 90 + 7 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (18669139070389) and next prime (18669139070411).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 601458081 + ... + 601489119.

It is an arithmetic number, because the mean of its divisors is an integer number (44482430720).

Almost surely, 2^{18669139070400} is an apocalyptic number.

18669139070400 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 18669139070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44838290165760).

18669139070400 is an abundant number, since it is smaller than the sum of its proper divisors (71007441261120).

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

18669139070400 is a wasteful number, since it uses less digits than its factorization.

18669139070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31113 (or 31086 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 18669139070400 in words is "eighteen trillion, six hundred sixty-nine billion, one hundred thirty-nine million, seventy thousand, four hundred".