20148400044360 has 336 divisors, whose sum is σ = 79066865720700. Its totient is φ = 4605348254976.

The previous prime is 20148400044317. The next prime is 20148400044391. The reversal of 20148400044360 is 6344000484102.

20148400044360 is a `hidden beast` number, since 201 + 4 + 8 + 4 + 0 + 0 + 0 + 443 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20128520736324 + 19879308036 = 4486482^2 + 140994^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5621775 + ... + 8479454.

Almost surely, 2^{20148400044360} is an apocalyptic number.

20148400044360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20148400044360 is an abundant number, since it is smaller than the sum of its proper divisors (58918465676340).

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

20148400044360 is a wasteful number, since it uses less digits than its factorization.

20148400044360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14101272 (or 14101246 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 20148400044360 in words is "twenty trillion, one hundred forty-eight billion, four hundred million, forty-four thousand, three hundred sixty".