166094438400 has 486 divisors, whose sum is σ = 649076927772. Its totient is φ = 40265318400.

The previous prime is 166094438371. The next prime is 166094438443. The reversal of 166094438400 is 4834490661.

166094438400 is a `hidden beast` number, since 1 + 6 + 609 + 4 + 4 + 38 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×166094438400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15099494395 + ... + 15099494405.

Almost surely, 2^166094438400 is an apocalyptic number.

166094438400 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 166094438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324538463886).

166094438400 is an abundant number, since it is smaller than the sum of its proper divisors (482982489372).

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

166094438400 is an frugal number, since it uses more digits than its factorization.

166094438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 166094438400 in words is "one hundred sixty-six billion, ninety-four million, four hundred thirty-eight thousand, four hundred".