166337224704 has 784 divisors, whose sum is σ = 598224327552. Its totient is φ = 45195853824.

The previous prime is 166337224667. The next prime is 166337224751. The reversal of 166337224704 is 407422733661.

166337224704 is a `hidden beast` number, since 1 + 6 + 633 + 7 + 2 + 2 + 4 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 166337224704.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 961486762 + ... + 961486934.

Almost surely, 2^166337224704 is an apocalyptic number.

166337224704 is a gapful number since it is divisible by the number (14) 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 166337224704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299112163776).

166337224704 is an abundant number, since it is smaller than the sum of its proper divisors (431887102848).

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

166337224704 is an frugal number, since it uses more digits than its factorization.

166337224704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 166337224704 in words is "one hundred sixty-six billion, three hundred thirty-seven million, two hundred twenty-four thousand, seven hundred four".