213515733456 has 160 divisors (see below), whose sum is σ = 628262288640. Its totient is φ = 69386803200.

The previous prime is 213515733449. The next prime is 213515733467. The reversal of 213515733456 is 654337515312.

213515733456 is a `hidden beast` number, since 2 + 1 + 35 + 1 + 573 + 3 + 45 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31577116 + ... + 31583876.

It is an arithmetic number, because the mean of its divisors is an integer number (3926639304).

Almost surely, 2^213515733456 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 213515733456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314131144320).

213515733456 is an abundant number, since it is smaller than the sum of its proper divisors (414746555184).

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

213515733456 is a wasteful number, since it uses less digits than its factorization.

213515733456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602 (or 8590 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The spelling of 213515733456 in words is "two hundred thirteen billion, five hundred fifteen million, seven hundred thirty-three thousand, four hundred fifty-six".