21314436264 has 96 divisors (see below), whose sum is σ = 62999389440. Its totient is φ = 6456364800.

The previous prime is 21314436263. The next prime is 21314436281. The reversal of 21314436264 is 46263441312.

21314436264 is a `hidden beast` number, since 2 + 13 + 14 + 4 + 3 + 626 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21314436263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3265324 + ... + 3271844.

It is an arithmetic number, because the mean of its divisors is an integer number (656243640).

Almost surely, 2^21314436264 is an apocalyptic number.

21314436264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21314436264 is an abundant number, since it is smaller than the sum of its proper divisors (41684953176).

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

21314436264 is a wasteful number, since it uses less digits than its factorization.

21314436264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10671 (or 10664 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 21314436264 its reverse (46263441312), we get a palindrome (67577877576).

The spelling of 21314436264 in words is "twenty-one billion, three hundred fourteen million, four hundred thirty-six thousand, two hundred sixty-four".