166870177488 has 400 divisors, whose sum is σ = 562773873024. Its totient is φ = 46750556160.

The previous prime is 166870177477. The next prime is 166870177511. The reversal of 166870177488 is 884771078661.

166870177488 is a `hidden beast` number, since 1 + 6 + 6 + 87 + 0 + 1 + 77 + 488 = 666.

It is a super-2 number, since 2×166870177488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 170798056 + ... + 170799032.

Almost surely, 2^166870177488 is an apocalyptic number.

166870177488 is a gapful number since it is divisible by the number (18) 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 166870177488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281386936512).

166870177488 is an abundant number, since it is smaller than the sum of its proper divisors (395903695536).

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

166870177488 is a wasteful number, since it uses less digits than its factorization.

166870177488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 166870177488 in words is "one hundred sixty-six billion, eight hundred seventy million, one hundred seventy-seven thousand, four hundred eighty-eight".