16158465792 has 864 divisors, whose sum is σ = 61143398400. Its totient is φ = 4232632320.

The previous prime is 16158465787. The next prime is 16158465803. The reversal of 16158465792 is 29756485161.

It is a happy number.

16158465792 is a `hidden beast` number, since 1 + 6 + 1 + 584 + 6 + 57 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×16158465792² (a number of 21 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521240817 + ... + 521240847.

Almost surely, 2^16158465792 is an apocalyptic number.

16158465792 is a gapful number since it is divisible by the number (12) 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 16158465792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30571699200).

16158465792 is an abundant number, since it is smaller than the sum of its proper divisors (44984932608).

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

16158465792 is an frugal number, since it uses more digits than its factorization.

16158465792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 16158465792 in words is "sixteen billion, one hundred fifty-eight million, four hundred sixty-five thousand, seven hundred ninety-two".