166646510405100 has 216 divisors, whose sum is σ = 572275698229872. Its totient is φ = 40225766553600.

The previous prime is 166646510405099. The next prime is 166646510405189. The reversal of 166646510405100 is 1504015646661.

It is a super-2 number, since 2×166646510405100² (a number of 29 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33815577 + ... + 38428976.

It is an arithmetic number, because the mean of its divisors is an integer number (2649424528842).

Almost surely, 2^{166646510405100} is an apocalyptic number.

166646510405100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166646510405100 is an abundant number, since it is smaller than the sum of its proper divisors (405629187824772).

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

166646510405100 is a wasteful number, since it uses less digits than its factorization.

166646510405100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72244817 (or 72244807 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 166646510405100 in words is "one hundred sixty-six trillion, six hundred forty-six billion, five hundred ten million, four hundred five thousand, one hundred".