21838454584900 has 36 divisors (see below), whose sum is σ = 49023565298820. Its totient is φ = 8434161769600.

The previous prime is 21838454584829. The next prime is 21838454584927. The reversal of 21838454584900 is 948545483812.

It can be written as a sum of positive squares in 6 ways, for example, as 19671745536 + 21818782839364 = 140256^2 + 4671058^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3765247891 + ... + 3765253690.

It is an arithmetic number, because the mean of its divisors is an integer number (1361765702745).

Almost surely, 2^{21838454584900} is an apocalyptic number.

21838454584900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21838454584900 is an abundant number, since it is smaller than the sum of its proper divisors (27185110713920).

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

21838454584900 is a wasteful number, since it uses less digits than its factorization.

21838454584900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530501624 (or 7530501617 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 61.

The spelling of 21838454584900 in words is "twenty-one trillion, eight hundred thirty-eight billion, four hundred fifty-four million, five hundred eighty-four thousand, nine hundred".