168400738944 has 192 divisors, whose sum is σ = 489378970080. Its totient is φ = 55580928000.

The previous prime is 168400738943. The next prime is 168400738969. The reversal of 168400738944 is 449837004861.

168400738944 is a `hidden beast` number, since 168 + 400 + 7 + 38 + 9 + 44 = 666.

168400738944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (168400738943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88584394 + ... + 88586294.

Almost surely, 2^168400738944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168400738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244689485040).

168400738944 is an abundant number, since it is smaller than the sum of its proper divisors (320978231136).

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

168400738944 is a wasteful number, since it uses less digits than its factorization.

168400738944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 168400738944 in words is "one hundred sixty-eight billion, four hundred million, seven hundred thirty-eight thousand, nine hundred forty-four".