163315841400 has 576 divisors, whose sum is σ = 614236802400. Its totient is φ = 38645268480.

The previous prime is 163315841393. The next prime is 163315841441. The reversal of 163315841400 is 4148513361.

163315841400 is a `hidden beast` number, since 1 + 6 + 3 + 31 + 584 + 1 + 40 + 0 = 666.

163315841400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149419254 + ... + 149420346.

Almost surely, 2^163315841400 is an apocalyptic number.

163315841400 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 163315841400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307118401200).

163315841400 is an abundant number, since it is smaller than the sum of its proper divisors (450920961000).

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

163315841400 is a wasteful number, since it uses less digits than its factorization.

163315841400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 163315841400 in words is "one hundred sixty-three billion, three hundred fifteen million, eight hundred forty-one thousand, four hundred".