220950987234432 has 2304 divisors, whose sum is σ = 806401065600000. Its totient is φ = 52323278192640.

The previous prime is 220950987234401. The next prime is 220950987234443. The reversal of 220950987234432 is 234432789059022.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 442787549319 + ... + 442787549817.

It is an arithmetic number, because the mean of its divisors is an integer number (350000462500).

Almost surely, 2^{220950987234432} 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 220950987234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200532800000).

220950987234432 is an abundant number, since it is smaller than the sum of its proper divisors (585450078365568).

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

220950987234432 is a wasteful number, since it uses less digits than its factorization.

220950987234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 220950987234432 in words is "two hundred twenty trillion, nine hundred fifty billion, nine hundred eighty-seven million, two hundred thirty-four thousand, four hundred thirty-two".