163951364697120 has 6144 divisors, whose sum is σ = 836724314603520. Its totient is φ = 28848905256960.

The previous prime is 163951364697067. The next prime is 163951364697121. The reversal of 163951364697120 is 21796463159361.

163951364697120 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 51 + 36 + 469 + 71 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (163951364697121) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 735207913329 + ... + 735207913551.

It is an arithmetic number, because the mean of its divisors is an integer number (136185598080).

Almost surely, 2^{163951364697120} is an apocalyptic number.

163951364697120 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 163951364697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418362157301760).

163951364697120 is an abundant number, since it is smaller than the sum of its proper divisors (672772949906400).

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

163951364697120 is a wasteful number, since it uses less digits than its factorization.

163951364697120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 163951364697120 in words is "one hundred sixty-three trillion, nine hundred fifty-one billion, three hundred sixty-four million, six hundred ninety-seven thousand, one hundred twenty".