18519992064 has 576 divisors, whose sum is σ = 66048998400. Its totient is φ = 5007163392.

The previous prime is 18519992063. The next prime is 18519992137. The reversal of 18519992064 is 46029991581.

18519992064 is a `hidden beast` number, since 18 + 519 + 99 + 20 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18519992064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18519992063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94010014 + ... + 94010210.

It is an arithmetic number, because the mean of its divisors is an integer number (114668400).

Almost surely, 2^18519992064 is an apocalyptic number.

18519992064 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 18519992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33024499200).

18519992064 is an abundant number, since it is smaller than the sum of its proper divisors (47529006336).

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

18519992064 is a wasteful number, since it uses less digits than its factorization.

18519992064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 18519992064 in words is "eighteen billion, five hundred nineteen million, nine hundred ninety-two thousand, sixty-four".