20451288064 has 99 divisors (see below), whose sum is σ = 42292029171. Its totient is φ = 9884712960.

The previous prime is 20451288049. The next prime is 20451288079. The reversal of 20451288064 is 46088215402.

It is a happy number.

The square root of 20451288064 is 143008.

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

It is an interprime number because it is at equal distance from previous prime (20451288049) and next prime (20451288079).

It can be written as a sum of positive squares in 4 ways, for example, as 2559550464 + 17891737600 = 50592^2 + 133760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 187626442 + ... + 187626550.

Almost surely, 2^20451288064 is an apocalyptic number.

20451288064 is the 143008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20451288064

20451288064 is an abundant number, since it is smaller than the sum of its proper divisors (21840741107).

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

20451288064 is an frugal number, since it uses more digits than its factorization.

20451288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 20451288064 in words is "twenty billion, four hundred fifty-one million, two hundred eighty-eight thousand, sixty-four".