213922615032 has 512 divisors, whose sum is σ = 705438720000. Its totient is φ = 58817442816.

The previous prime is 213922615009. The next prime is 213922615043. The reversal of 213922615032 is 230516229312.

213922615032 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 2 + 2 + 615 + 0 + 32 = 666.

213922615032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213922615032² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1195098319 + ... + 1195098497.

It is an arithmetic number, because the mean of its divisors is an integer number (1377810000).

Almost surely, 2^213922615032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213922615032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352719360000).

213922615032 is an abundant number, since it is smaller than the sum of its proper divisors (491516104968).

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

213922615032 is a wasteful number, since it uses less digits than its factorization.

213922615032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 213922615032 in words is "two hundred thirteen billion, nine hundred twenty-two million, six hundred fifteen thousand, thirty-two".