166417929216 has 880 divisors, whose sum is σ = 630020616192. Its totient is φ = 42500505600.

The previous prime is 166417929211. The next prime is 166417929221. The reversal of 166417929216 is 612929714661.

166417929216 is a `hidden beast` number, since 1 + 6 + 6 + 417 + 9 + 2 + 9 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (166417929211) and next prime (166417929221).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166417929211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 453454665 + ... + 453455031.

Almost surely, 2^166417929216 is an apocalyptic number.

166417929216 is a gapful number since it is divisible by the number (16) 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 166417929216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315010308096).

166417929216 is an abundant number, since it is smaller than the sum of its proper divisors (463602686976).

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

166417929216 is a wasteful number, since it uses less digits than its factorization.

166417929216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 461 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 166417929216 in words is "one hundred sixty-six billion, four hundred seventeen million, nine hundred twenty-nine thousand, two hundred sixteen".