18308901205152 has 144 divisors (see below), whose sum is σ = 53323290919080. Its totient is φ = 5957308809216.

The previous prime is 18308901205121. The next prime is 18308901205181. The reversal of 18308901205152 is 25150210980381.

18308901205152 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 8 + 9 + 0 + 120 + 515 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12187611637776 + 6121289567376 = 3491076^2 + 2474124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 18308901205098 and 18308901205107.

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, 2449627 + ... + 6528282.

Almost surely, 2^{18308901205152} is an apocalyptic number.

18308901205152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18308901205152 is an abundant number, since it is smaller than the sum of its proper divisors (35014389713928).

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

18308901205152 is a wasteful number, since it uses less digits than its factorization.

18308901205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978095 (or 8978084 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 18308901205152 in words is "eighteen trillion, three hundred eight billion, nine hundred one million, two hundred five thousand, one hundred fifty-two".