18306578323152 has 1920 divisors, whose sum is σ = 66685731840000. Its totient is φ = 4851258531840.

The previous prime is 18306578323091. The next prime is 18306578323171. The reversal of 18306578323152 is 25132387560381.

18306578323152 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 6 + 578 + 32 + 31 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162005117848 + ... + 162005117960.

It is an arithmetic number, because the mean of its divisors is an integer number (34732152000).

Almost surely, 2^{18306578323152} is an apocalyptic number.

18306578323152 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 18306578323152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33342865920000).

18306578323152 is an abundant number, since it is smaller than the sum of its proper divisors (48379153516848).

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

18306578323152 is a wasteful number, since it uses less digits than its factorization.

18306578323152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 18306578323152 in words is "eighteen trillion, three hundred six billion, five hundred seventy-eight million, three hundred twenty-three thousand, one hundred fifty-two".