220565465160642 has 160 divisors (see below), whose sum is σ = 583414613658624. Its totient is φ = 60948204796800.

The previous prime is 220565465160619. The next prime is 220565465160661. The reversal of 220565465160642 is 246061564565022.

220565465160642 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 6 + 546 + 51 + 6 + 0 + 6 + 42 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55049328 + ... + 58919940.

Almost surely, 2^{220565465160642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220565465160642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291707306829312).

220565465160642 is an abundant number, since it is smaller than the sum of its proper divisors (362849148497982).

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

220565465160642 is a wasteful number, since it uses less digits than its factorization.

220565465160642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872286 (or 3872277 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 220565465160642 in words is "two hundred twenty trillion, five hundred sixty-five billion, four hundred sixty-five million, one hundred sixty thousand, six hundred forty-two".