18134876160 has 360 divisors, whose sum is σ = 65265572736. Its totient is φ = 4830658560.

The previous prime is 18134876147. The next prime is 18134876213. The reversal of 18134876160 is 6167843181.

18134876160 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 487 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19906105 + ... + 19907015.

Almost surely, 2^18134876160 is an apocalyptic number.

18134876160 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 18134876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32632786368).

18134876160 is an abundant number, since it is smaller than the sum of its proper divisors (47130696576).

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

18134876160 is an frugal number, since it uses more digits than its factorization.

18134876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18134876160 in words is "eighteen billion, one hundred thirty-four million, eight hundred seventy-six thousand, one hundred sixty".