213577923264 has 224 divisors, whose sum is σ = 587968465920. Its totient is φ = 68373946368.

The previous prime is 213577923263. The next prime is 213577923277. The reversal of 213577923264 is 462329775312.

213577923264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213577923263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 206754492 + ... + 206755524.

Almost surely, 2^213577923264 is an apocalyptic number.

213577923264 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 213577923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293984232960).

213577923264 is an abundant number, since it is smaller than the sum of its proper divisors (374390542656).

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

213577923264 is a wasteful number, since it uses less digits than its factorization.

213577923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1477 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The spelling of 213577923264 in words is "two hundred thirteen billion, five hundred seventy-seven million, nine hundred twenty-three thousand, two hundred sixty-four".