20369624145984 has 189 divisors, whose sum is σ = 58658157483679. Its totient is φ = 6758354023680.

The previous prime is 20369624145971. The next prime is 20369624146019. The reversal of 20369624145984 is 48954142696302.

The square root of 20369624145984 is 4513272.

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

20369624145984 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 9 + 6 + 24 + 14 + 598 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41485995979 + ... + 41485996469.

Almost surely, 2^{20369624145984} is an apocalyptic number.

20369624145984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20369624145984 is the 4513272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20369624145984

20369624145984 is an abundant number, since it is smaller than the sum of its proper divisors (38288533337695).

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

20369624145984 is an frugal number, since it uses more digits than its factorization.

20369624145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 20369624145984 in words is "twenty trillion, three hundred sixty-nine billion, six hundred twenty-four million, one hundred forty-five thousand, nine hundred eighty-four".