213631476264 has 144 divisors (see below), whose sum is σ = 605070648000. Its totient is φ = 68081267520.

The previous prime is 213631476257. The next prime is 213631476287. The reversal of 213631476264 is 462674136312.

213631476264 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 3 + 14 + 7 + 626 + 4 = 666.

213631476264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 5724337 + ... + 5761535.

It is an arithmetic number, because the mean of its divisors is an integer number (4201879500).

Almost surely, 2^213631476264 is an apocalyptic number.

213631476264 is a gapful number since it is divisible by the number (24) 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 213631476264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302535324000).

213631476264 is an abundant number, since it is smaller than the sum of its proper divisors (391439171736).

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

213631476264 is a wasteful number, since it uses less digits than its factorization.

213631476264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37356 (or 37318 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 213631476264 in words is "two hundred thirteen billion, six hundred thirty-one million, four hundred seventy-six thousand, two hundred sixty-four".