221544557507064 has 128 divisors (see below), whose sum is σ = 618084620697600. Its totient is φ = 65598066349440.

The previous prime is 221544557507041. The next prime is 221544557507069. The reversal of 221544557507064 is 460705755445122.

It is a happy number.

It is a super-2 number, since 2×221544557507064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221544557506995 and 221544557507013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221544557507069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7175904 + ... + 22239215.

It is an arithmetic number, because the mean of its divisors is an integer number (4828786099200).

Almost surely, 2^{221544557507064} is an apocalyptic number.

221544557507064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221544557507064 is an abundant number, since it is smaller than the sum of its proper divisors (396540063190536).

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

221544557507064 is a wasteful number, since it uses less digits than its factorization.

221544557507064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29415793 (or 29415789 counting only the distinct ones).

The product of its (nonzero) digits is 47040000, while the sum is 57.

The spelling of 221544557507064 in words is "two hundred twenty-one trillion, five hundred forty-four billion, five hundred fifty-seven million, five hundred seven thousand, sixty-four".