21103140633264 has 40 divisors (see below), whose sum is σ = 60573829596720. Its totient is φ = 7034380210944.

The previous prime is 21103140633247. The next prime is 21103140633347. The reversal of 21103140633264 is 46233604130112.

21103140633264 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 3 + 14 + 0 + 633 + 2 + 6 + 4 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24424930857 + ... + 24424931720.

It is an arithmetic number, because the mean of its divisors is an integer number (1514345739918).

Almost surely, 2^{21103140633264} is an apocalyptic number.

21103140633264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21103140633264 is an abundant number, since it is smaller than the sum of its proper divisors (39470688963456).

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

21103140633264 is a wasteful number, since it uses less digits than its factorization.

21103140633264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48849862594 (or 48849862582 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 21103140633264 its reverse (46233604130112), we get a palindrome (67336744763376).

The spelling of 21103140633264 in words is "twenty-one trillion, one hundred three billion, one hundred forty million, six hundred thirty-three thousand, two hundred sixty-four".