20618662464 has 189 divisors, whose sum is σ = 61385664249. Its totient is φ = 6616719360.

The previous prime is 20618662453. The next prime is 20618662481. The reversal of 20618662464 is 46426681602.

The square root of 20618662464 is 143592.

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

20618662464 is a `hidden beast` number, since 2 + 0 + 6 + 18 + 6 + 624 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4995662400 + 15623000064 = 70680^2 + 124992^2 .

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 26 ways as a sum of consecutive naturals, for example, 106832352 + ... + 106832544.

Almost surely, 2^20618662464 is an apocalyptic number.

20618662464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20618662464 is the 143592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20618662464

20618662464 is an abundant number, since it is smaller than the sum of its proper divisors (40767001785).

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

20618662464 is an equidigital number, since it uses as much as digits as its factorization.

20618662464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 20618662464 in words is "twenty billion, six hundred eighteen million, six hundred sixty-two thousand, four hundred sixty-four".