16122388464 has 600 divisors, whose sum is σ = 60305171472. Its totient is φ = 3982970880.

The previous prime is 16122388409. The next prime is 16122388523. The reversal of 16122388464 is 46488322161.

16122388464 is a `hidden beast` number, since 1 + 612 + 23 + 8 + 8 + 4 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76409319 + ... + 76409529.

Almost surely, 2^16122388464 is an apocalyptic number.

16122388464 is a gapful number since it is divisible by the number (14) 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 16122388464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30152585736).

16122388464 is an abundant number, since it is smaller than the sum of its proper divisors (44182783008).

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

16122388464 is a wasteful number, since it uses less digits than its factorization.

16122388464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 16122388464 in words is "sixteen billion, one hundred twenty-two million, three hundred eighty-eight thousand, four hundred sixty-four".