18136429920 has 288 divisors, whose sum is σ = 72378738432. Its totient is φ = 4048966656.

The previous prime is 18136429919. The next prime is 18136429939. The reversal of 18136429920 is 2992463181.

18136429920 is a `hidden beast` number, since 1 + 8 + 136 + 429 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412519 + ... + 454361.

It is an arithmetic number, because the mean of its divisors is an integer number (251315064).

Almost surely, 2^18136429920 is an apocalyptic number.

18136429920 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 18136429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36189369216).

18136429920 is an abundant number, since it is smaller than the sum of its proper divisors (54242308512).

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

18136429920 is a wasteful number, since it uses less digits than its factorization.

18136429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41914 (or 41903 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 18136429920 in words is "eighteen billion, one hundred thirty-six million, four hundred twenty-nine thousand, nine hundred twenty".