166234040481600 has 3024 divisors, whose sum is σ = 750749358340800. Its totient is φ = 34576181821440.

The previous prime is 166234040481589. The next prime is 166234040481629. The reversal of 166234040481600 is 6184040432661.

166234040481600 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 34 + 0 + 4 + 0 + 4 + 8 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 224944574031 + ... + 224944574769.

It is an arithmetic number, because the mean of its divisors is an integer number (248263676700).

Almost surely, 2^{166234040481600} is an apocalyptic number.

166234040481600 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 166234040481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375374679170400).

166234040481600 is an abundant number, since it is smaller than the sum of its proper divisors (584515317859200).

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

166234040481600 is a wasteful number, since it uses less digits than its factorization.

166234040481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 166234040481600 in words is "one hundred sixty-six trillion, two hundred thirty-four billion, forty million, four hundred eighty-one thousand, six hundred".