166014824640 has 672 divisors, whose sum is σ = 649236094464. Its totient is φ = 35194798080.

The previous prime is 166014824639. The next prime is 166014824653. The reversal of 166014824640 is 46428410661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×166014824640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 166014824592 and 166014824601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141771255 + ... + 141772425.

Almost surely, 2^166014824640 is an apocalyptic number.

166014824640 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 166014824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324618047232).

166014824640 is an abundant number, since it is smaller than the sum of its proper divisors (483221269824).

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

166014824640 is a wasteful number, since it uses less digits than its factorization.

166014824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 166014824640 in words is "one hundred sixty-six billion, fourteen million, eight hundred twenty-four thousand, six hundred forty".