220408514064 has 60 divisors (see below), whose sum is σ = 617254253616. Its totient is φ = 73419892416.

The previous prime is 220408514047. The next prime is 220408514107. The reversal of 220408514064 is 460415804022.

220408514064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302502 + ... + 729605.

Almost surely, 2^220408514064 is an apocalyptic number.

220408514064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220408514064 is an abundant number, since it is smaller than the sum of its proper divisors (396845739552).

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

220408514064 is a wasteful number, since it uses less digits than its factorization.

220408514064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033604 (or 1033595 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 220408514064 in words is "two hundred twenty billion, four hundred eight million, five hundred fourteen thousand, sixty-four".