163116398874240 has 3072 divisors, whose sum is σ = 728841649536000. Its totient is φ = 32721076224000.

The previous prime is 163116398874239. The next prime is 163116398874277. The reversal of 163116398874240 is 42478893611361.

163116398874240 is a `hidden beast` number, since 1 + 6 + 3 + 116 + 3 + 98 + 8 + 7 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 353831667610 + ... + 353831668070.

It is an arithmetic number, because the mean of its divisors is an integer number (237253141125).

Almost surely, 2^{163116398874240} is an apocalyptic number.

163116398874240 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 163116398874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364420824768000).

163116398874240 is an abundant number, since it is smaller than the sum of its proper divisors (565725250661760).

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

163116398874240 is a wasteful number, since it uses less digits than its factorization.

163116398874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 163116398874240 in words is "one hundred sixty-three trillion, one hundred sixteen billion, three hundred ninety-eight million, eight hundred seventy-four thousand, two hundred forty".