220357014084 has 63 divisors (see below), whose sum is σ = 578239190893. Its totient is φ = 73443888432.

The previous prime is 220357014071. The next prime is 220357014103. The reversal of 220357014084 is 480410753022.

It is a happy number.

The square root of 220357014084 is 469422.

It is a perfect power (a square), and thus also a powerful number.

220357014084 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 570 + 1 + 4 + 0 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11259332100 + 209097681984 = 106110^2 + 457272^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 25344442 + ... + 25353134.

Almost surely, 2^220357014084 is an apocalyptic number.

220357014084 is the 469422-nd square number.

It is an amenable number.

220357014084 is an abundant number, since it is smaller than the sum of its proper divisors (357882176809).

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

220357014084 is an frugal number, since it uses more digits than its factorization.

220357014084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 220357014084 by its sum of digits (36), we get a square (7932852507024 = 2816532²).

220357014084 divided by its sum of digits (36) gives a square (6121028169 = 78237²).

The spelling of 220357014084 in words is "two hundred twenty billion, three hundred fifty-seven million, fourteen thousand, eighty-four".