163364657456000 has 1536 divisors, whose sum is σ = 554973061144320. Its totient is φ = 46531584000000.

The previous prime is 163364657455999. The next prime is 163364657456017. The reversal of 163364657456000 is 654756463361.

It is a super-2 number, since 2×163364657456000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17793771410 + ... + 17793780590.

Almost surely, 2^{163364657456000} is an apocalyptic number.

163364657456000 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 163364657456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277486530572160).

163364657456000 is an abundant number, since it is smaller than the sum of its proper divisors (391608403688320).

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

163364657456000 is a wasteful number, since it uses less digits than its factorization.

163364657456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 56.

The spelling of 163364657456000 in words is "one hundred sixty-three trillion, three hundred sixty-four billion, six hundred fifty-seven million, four hundred fifty-six thousand".