18131601600 has 672 divisors, whose sum is σ = 80004879360. Its totient is φ = 3899473920.

The previous prime is 18131601581. The next prime is 18131601611. The reversal of 18131601600 is 610613181.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×18131601600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5139037 + ... + 5142563.

It is an arithmetic number, because the mean of its divisors is an integer number (119054880).

Almost surely, 2^18131601600 is an apocalyptic number.

18131601600 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 18131601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40002439680).

18131601600 is an abundant number, since it is smaller than the sum of its proper divisors (61873277760).

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

18131601600 is a wasteful number, since it uses less digits than its factorization.

18131601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 18131601600 in words is "eighteen billion, one hundred thirty-one million, six hundred one thousand, six hundred".