168166914480 has 640 divisors, whose sum is σ = 642816000000. Its totient is φ = 40215232512.

The previous prime is 168166914473. The next prime is 168166914493. The reversal of 168166914480 is 84419661861.

168166914480 is a `hidden beast` number, since 1 + 68 + 16 + 6 + 91 + 4 + 480 = 666.

It is a super-2 number, since 2×168166914480² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84124521 + ... + 84126519.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400000).

Almost surely, 2^168166914480 is an apocalyptic number.

168166914480 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 168166914480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000000).

168166914480 is an abundant number, since it is smaller than the sum of its proper divisors (474649085520).

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

168166914480 is a wasteful number, since it uses less digits than its factorization.

168166914480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 168166914480 in words is "one hundred sixty-eight billion, one hundred sixty-six million, nine hundred fourteen thousand, four hundred eighty".