18153804672 has 256 divisors, whose sum is σ = 55256256000. Its totient is φ = 5864140800.

The previous prime is 18153804623. The next prime is 18153804673. The reversal of 18153804672 is 27640835181.

18153804672 is a `hidden beast` number, since 1 + 8 + 1 + 538 + 0 + 46 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18153804673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22439404 + ... + 22440212.

It is an arithmetic number, because the mean of its divisors is an integer number (215844750).

Almost surely, 2^18153804672 is an apocalyptic number.

18153804672 is a gapful number since it is divisible by the number (12) 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 18153804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27628128000).

18153804672 is an abundant number, since it is smaller than the sum of its proper divisors (37102451328).

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

18153804672 is a wasteful number, since it uses less digits than its factorization.

18153804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18153804672 in words is "eighteen billion, one hundred fifty-three million, eight hundred four thousand, six hundred seventy-two".