163457665920 has 384 divisors, whose sum is σ = 590200266240. Its totient is φ = 41607278592.

The previous prime is 163457665907. The next prime is 163457666017. The reversal of 163457665920 is 29566754361.

163457665920 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 576 + 65 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85713607 + ... + 85715513.

It is an arithmetic number, because the mean of its divisors is an integer number (1536979860).

Almost surely, 2^163457665920 is an apocalyptic number.

163457665920 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 163457665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295100133120).

163457665920 is an abundant number, since it is smaller than the sum of its proper divisors (426742600320).

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

163457665920 is a wasteful number, since it uses less digits than its factorization.

163457665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 163457665920 in words is "one hundred sixty-three billion, four hundred fifty-seven million, six hundred sixty-five thousand, nine hundred twenty".