20070174184164 has 144 divisors (see below), whose sum is σ = 54944466136560. Its totient is φ = 6140521820160.

The previous prime is 20070174184139. The next prime is 20070174184187. The reversal of 20070174184164 is 46148147107002.

20070174184164 is a `hidden beast` number, since 2 + 0 + 0 + 70 + 1 + 7 + 418 + 4 + 164 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 560638542564 + 19509535641600 = 748758^2 + 4416960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295092864 + ... + 1295108360.

It is an arithmetic number, because the mean of its divisors is an integer number (381558792615).

Almost surely, 2^{20070174184164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20070174184164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27472233068280).

20070174184164 is an abundant number, since it is smaller than the sum of its proper divisors (34874291952396).

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

20070174184164 is a wasteful number, since it uses less digits than its factorization.

20070174184164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30990 (or 30985 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 20070174184164 in words is "twenty trillion, seventy billion, one hundred seventy-four million, one hundred eighty-four thousand, one hundred sixty-four".