168972134016 has 256 divisors, whose sum is σ = 534803005440. Its totient is φ = 46263619584.

The previous prime is 168972133943. The next prime is 168972134033. The reversal of 168972134016 is 610431279861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6112161 + ... + 6139743.

It is an arithmetic number, because the mean of its divisors is an integer number (2089074240).

Almost surely, 2^168972134016 is an apocalyptic number.

168972134016 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 168972134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267401502720).

168972134016 is an abundant number, since it is smaller than the sum of its proper divisors (365830871424).

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

168972134016 is a wasteful number, since it uses less digits than its factorization.

168972134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27703 (or 27691 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 168972134016 in words is "one hundred sixty-eight billion, nine hundred seventy-two million, one hundred thirty-four thousand, sixteen".