163698116400 has 1680 divisors, whose sum is σ = 752907366400. Its totient is φ = 33256396800.

The previous prime is 163698116363. The next prime is 163698116411. The reversal of 163698116400 is 4611896361.

163698116400 is a `hidden beast` number, since 1 + 636 + 9 + 8 + 1 + 1 + 6 + 4 + 0 + 0 = 666.

163698116400 is digitally balanced in base 3, 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 (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 822603501 + ... + 822603699.

Almost surely, 2^163698116400 is an apocalyptic number.

163698116400 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 163698116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376453683200).

163698116400 is an abundant number, since it is smaller than the sum of its proper divisors (589209250000).

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

163698116400 is a wasteful number, since it uses less digits than its factorization.

163698116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 163698116400 in words is "one hundred sixty-three billion, six hundred ninety-eight million, one hundred sixteen thousand, four hundred".