161838776822400 has 1536 divisors, whose sum is σ = 621364356921600. Its totient is φ = 41611478630400.

The previous prime is 161838776822389. The next prime is 161838776822453. The reversal of 161838776822400 is 4228677838161.

It is a happy number.

161838776822400 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 3 + 87 + 76 + 82 + 2 + 400 = 666.

It is a super-2 number, since 2×161838776822400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29260307635 + ... + 29260313165.

Almost surely, 2^{161838776822400} is an apocalyptic number.

161838776822400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161838776822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310682178460800).

161838776822400 is an abundant number, since it is smaller than the sum of its proper divisors (459525580099200).

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

161838776822400 is an equidigital number, since it uses as much as digits as its factorization.

161838776822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 161838776822400 in words is "one hundred sixty-one trillion, eight hundred thirty-eight billion, seven hundred seventy-six million, eight hundred twenty-two thousand, four hundred".