162537510816 has 480 divisors, whose sum is σ = 523323218880. Its totient is φ = 49286651904.

The previous prime is 162537510803. The next prime is 162537510823. The reversal of 162537510816 is 618015735261.

162537510816 is a `hidden beast` number, since 1 + 6 + 2 + 53 + 7 + 510 + 81 + 6 = 666.

It is a super-2 number, since 2×162537510816² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 206527575 + ... + 206528361.

It is an arithmetic number, because the mean of its divisors is an integer number (1090256706).

Almost surely, 2^162537510816 is an apocalyptic number.

162537510816 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 162537510816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261661609440).

162537510816 is an abundant number, since it is smaller than the sum of its proper divisors (360785708064).

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

162537510816 is a wasteful number, since it uses less digits than its factorization.

162537510816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 162537510816 in words is "one hundred sixty-two billion, five hundred thirty-seven million, five hundred ten thousand, eight hundred sixteen".