18048535464960 has 4224 divisors, whose sum is σ = 88379464089600. Its totient is φ = 3391122309120.

The previous prime is 18048535464941. The next prime is 18048535465057. The reversal of 18048535464960 is 6946453584081.

18048535464960 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 8 + 535 + 4 + 6 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 142114452417 + ... + 142114452543.

Almost surely, 2^{18048535464960} is an apocalyptic number.

18048535464960 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 18048535464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44189732044800).

18048535464960 is an abundant number, since it is smaller than the sum of its proper divisors (70330928624640).

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

18048535464960 is a wasteful number, since it uses less digits than its factorization.

18048535464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 18048535464960 in words is "eighteen trillion, forty-eight billion, five hundred thirty-five million, four hundred sixty-four thousand, nine hundred sixty".