166418404983600 has 1920 divisors, whose sum is σ = 686561771520000. Its totient is φ = 33462625996800.

The previous prime is 166418404983599. The next prime is 166418404983661. The reversal of 166418404983600 is 6389404814661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 111019615651 + ... + 111019617149.

It is an arithmetic number, because the mean of its divisors is an integer number (357584256000).

Almost surely, 2^{166418404983600} is an apocalyptic number.

166418404983600 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 166418404983600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343280885760000).

166418404983600 is an abundant number, since it is smaller than the sum of its proper divisors (520143366536400).

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

166418404983600 is a wasteful number, since it uses less digits than its factorization.

166418404983600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 166418404983600 in words is "one hundred sixty-six trillion, four hundred eighteen billion, four hundred four million, nine hundred eighty-three thousand, six hundred".