163853940096 has 1024 divisors, whose sum is σ = 662722560000. Its totient is φ = 38539100160.

The previous prime is 163853940091. The next prime is 163853940127. The reversal of 163853940096 is 690049358361.

163853940096 is a `hidden beast` number, since 1 + 63 + 8 + 539 + 40 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×163853940096² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163853940091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116290240 + ... + 116291648.

It is an arithmetic number, because the mean of its divisors is an integer number (647190000).

Almost surely, 2^163853940096 is an apocalyptic number.

163853940096 is a gapful number since it is divisible by the number (16) 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 163853940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331361280000).

163853940096 is an abundant number, since it is smaller than the sum of its proper divisors (498868619904).

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

163853940096 is a wasteful number, since it uses less digits than its factorization.

163853940096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 163853940096 in words is "one hundred sixty-three billion, eight hundred fifty-three million, nine hundred forty thousand, ninety-six".