162962000851968 has 880 divisors, whose sum is σ = 507902761428480. Its totient is φ = 52010665574400.

The previous prime is 162962000851933. The next prime is 162962000851981. The reversal of 162962000851968 is 869158000269261.

162962000851968 is a `hidden beast` number, since 1 + 6 + 2 + 96 + 20 + 0 + 0 + 8 + 519 + 6 + 8 = 666.

It is a super-2 number, since 2×162962000851968² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35128689393 + ... + 35128694031.

It is an arithmetic number, because the mean of its divisors is an integer number (577162228896).

Almost surely, 2^{162962000851968} is an apocalyptic number.

162962000851968 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 162962000851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253951380714240).

162962000851968 is an abundant number, since it is smaller than the sum of its proper divisors (344940760576512).

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

162962000851968 is a wasteful number, since it uses less digits than its factorization.

162962000851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 162962000851968 in words is "one hundred sixty-two trillion, nine hundred sixty-two billion, eight hundred fifty-one thousand, nine hundred sixty-eight".