18964319520 has 384 divisors, whose sum is σ = 64865525760. Its totient is φ = 4642099200.

The previous prime is 18964319489. The next prime is 18964319531. The reversal of 18964319520 is 2591346981.

It is a Cunningham number, because it is equal to 137711²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18964319520.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64724494 + ... + 64724786.

It is an arithmetic number, because the mean of its divisors is an integer number (168920640).

Almost surely, 2^18964319520 is an apocalyptic number.

18964319520 is a gapful number since it is divisible by the number (10) 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 18964319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432762880).

18964319520 is an abundant number, since it is smaller than the sum of its proper divisors (45901206240).

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

18964319520 is a wasteful number, since it uses less digits than its factorization.

18964319520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 18964319520 in words is "eighteen billion, nine hundred sixty-four million, three hundred nineteen thousand, five hundred twenty".