213032042496 has 952 divisors, whose sum is σ = 802259376800. Its totient is φ = 56184274944.

The previous prime is 213032042479. The next prime is 213032042519. The reversal of 213032042496 is 694240230312.

213032042496 is a `hidden beast` number, since 2 + 130 + 32 + 0 + 4 + 2 + 496 = 666.

It is a super-3 number, since 3×213032042496³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213032042496.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16387080186 + ... + 16387080198.

Almost surely, 2^213032042496 is an apocalyptic number.

213032042496 is a gapful number since it is divisible by the number (26) 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 213032042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401129688400).

213032042496 is an abundant number, since it is smaller than the sum of its proper divisors (589227334304).

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

213032042496 is an frugal number, since it uses more digits than its factorization.

213032042496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 213032042496 in words is "two hundred thirteen billion, thirty-two million, forty-two thousand, four hundred ninety-six".