166748218790400 has 1920 divisors, whose sum is σ = 695481819648000. Its totient is φ = 38792231976960.

The previous prime is 166748218790383. The next prime is 166748218790423. The reversal of 166748218790400 is 4097812847661.

166748218790400 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 4 + 8 + 218 + 7 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×166748218790400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39523159491 + ... + 39523163709.

It is an arithmetic number, because the mean of its divisors is an integer number (362230114400).

Almost surely, 2^{166748218790400} is an apocalyptic number.

166748218790400 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 166748218790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347740909824000).

166748218790400 is an abundant number, since it is smaller than the sum of its proper divisors (528733600857600).

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

166748218790400 is a wasteful number, since it uses less digits than its factorization.

166748218790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 166748218790400 in words is "one hundred sixty-six trillion, seven hundred forty-eight billion, two hundred eighteen million, seven hundred ninety thousand, four hundred".