19264368816 has 180 divisors, whose sum is σ = 68417377704. Its totient is φ = 5003712000.

The previous prime is 19264368787. The next prime is 19264368833. The reversal of 19264368816 is 61886346291.

19264368816 is a `hidden beast` number, since 1 + 9 + 264 + 368 + 8 + 16 = 666.

It is a super-2 number, since 2×19264368816² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46485 + ... + 201716.

Almost surely, 2^19264368816 is an apocalyptic number.

19264368816 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 19264368816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34208688852).

19264368816 is an abundant number, since it is smaller than the sum of its proper divisors (49153008888).

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

19264368816 is a wasteful number, since it uses less digits than its factorization.

19264368816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248240 (or 248224 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 19264368816 in words is "nineteen billion, two hundred sixty-four million, three hundred sixty-eight thousand, eight hundred sixteen".