20318529881664 has 315 divisors, whose sum is σ = 67959650923073. Its totient is φ = 5803779695616.

The previous prime is 20318529881653. The next prime is 20318529881711. The reversal of 20318529881664 is 46618892581302.

The square root of 20318529881664 is 4507608.

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

20318529881664 is a `hidden beast` number, since 2 + 0 + 3 + 18 + 529 + 88 + 16 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4406472705600 + 15912057176064 = 2099160^2 + 3988992^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5300945092 + ... + 5300948924.

Almost surely, 2^{20318529881664} is an apocalyptic number.

20318529881664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20318529881664 is the 4507608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20318529881664

20318529881664 is an abundant number, since it is smaller than the sum of its proper divisors (47641121041409).

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

20318529881664 is an frugal number, since it uses more digits than its factorization.

20318529881664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 20318529881664 in words is "twenty trillion, three hundred eighteen billion, five hundred twenty-nine million, eight hundred eighty-one thousand, six hundred sixty-four".