221940352512 has 560 divisors, whose sum is σ = 703300485888. Its totient is φ = 69797376000.

The previous prime is 221940352511. The next prime is 221940352523. The reversal of 221940352512 is 215253049122.

221940352512 is a `hidden beast` number, since 2 + 2 + 1 + 94 + 0 + 3 + 52 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221940352511) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 884224387 + ... + 884224637.

Almost surely, 2^221940352512 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 221940352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351650242944).

221940352512 is an abundant number, since it is smaller than the sum of its proper divisors (481360133376).

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

221940352512 is an equidigital number, since it uses as much as digits as its factorization.

221940352512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 221940352512 in words is "two hundred twenty-one billion, nine hundred forty million, three hundred fifty-two thousand, five hundred twelve".