161290050800004 has 243 divisors, whose sum is σ = 495824223203127. Its totient is φ = 44075915741088.

The previous prime is 161290050799987. The next prime is 161290050800029. The reversal of 161290050800004 is 400008050092161.

The square root of 161290050800004 is 12700002.

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

161290050800004 is a `hidden beast` number, since 1 + 61 + 2 + 90 + 0 + 508 + 0 + 0 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12268195359 + ... + 12268208505.

Almost surely, 2^{161290050800004} is an apocalyptic number.

161290050800004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

161290050800004 is the 12700002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161290050800004

161290050800004 is an abundant number, since it is smaller than the sum of its proper divisors (334534172403123).

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

161290050800004 is an equidigital number, since it uses as much as digits as its factorization.

161290050800004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26364 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

161290050800004 divided by its sum of digits (36) gives a square (4480279188889 = 2116667²).

The spelling of 161290050800004 in words is "one hundred sixty-one trillion, two hundred ninety billion, fifty million, eight hundred thousand, four".