20361006864 has 405 divisors, whose sum is σ = 66898037479. Its totient is φ = 5776172160.

The previous prime is 20361006847. The next prime is 20361006877. The reversal of 20361006864 is 46860016302.

The square root of 20361006864 is 142692.

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

It is a super-2 number, since 2×20361006864² (a number of 21 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 433212889 + ... + 433212935.

Almost surely, 2^20361006864 is an apocalyptic number.

20361006864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20361006864 is the 142692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20361006864

20361006864 is an abundant number, since it is smaller than the sum of its proper divisors (46537030615).

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

20361006864 is a wasteful number, since it uses less digits than its factorization.

20361006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 20361006864 by its sum of digits (36), we get a square (732996247104 = 856152²).

20361006864 divided by its sum of digits (36) gives a square (565583524 = 23782²).

The spelling of 20361006864 in words is "twenty billion, three hundred sixty-one million, six thousand, eight hundred sixty-four".