162913900968 has 768 divisors, whose sum is σ = 592068771840. Its totient is φ = 40814668800.

The previous prime is 162913900957. The next prime is 162913900973. The reversal of 162913900968 is 869009319261.

162913900968 is a `hidden beast` number, since 1 + 629 + 1 + 3 + 9 + 0 + 0 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×162913900968² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 334525221 + ... + 334525707.

It is an arithmetic number, because the mean of its divisors is an integer number (770922880).

Almost surely, 2^162913900968 is an apocalyptic number.

162913900968 is a gapful number since it is divisible by the number (18) 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 162913900968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296034385920).

162913900968 is an abundant number, since it is smaller than the sum of its proper divisors (429154870872).

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

162913900968 is a wasteful number, since it uses less digits than its factorization.

162913900968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 162913900968 in words is "one hundred sixty-two billion, nine hundred thirteen million, nine hundred thousand, nine hundred sixty-eight".