20038228582464 has 315 divisors, whose sum is σ = 59873531402685. Its totient is φ = 6407351354880.

The previous prime is 20038228582447. The next prime is 20038228582481. The reversal of 20038228582464 is 46428582283002.

It is a happy number.

The square root of 20038228582464 is 4476408.

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

20038228582464 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 8 + 22 + 85 + 82 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (20038228582447) and next prime (20038228582481).

It can be written as a sum of positive squares in only one way, i.e., 17930482113600 + 2107746468864 = 4234440^2 + 1451808^2 .

It is a super-2 number, since 2×20038228582464² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20038228582464.

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, 282228571549 + ... + 282228571619.

Almost surely, 2^{20038228582464} is an apocalyptic number.

20038228582464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20038228582464 is the 4476408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20038228582464

20038228582464 is an abundant number, since it is smaller than the sum of its proper divisors (39835302820221).

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

20038228582464 is an frugal number, since it uses more digits than its factorization.

20038228582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 20038228582464 in words is "twenty trillion, thirty-eight billion, two hundred twenty-eight million, five hundred eighty-two thousand, four hundred sixty-four".