18791614464 has 384 divisors, whose sum is σ = 60252192000. Its totient is φ = 5202247680.

The previous prime is 18791614463. The next prime is 18791614481. The reversal of 18791614464 is 46441619781.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×18791614464² (a number of 21 digits) contains 22 as substring.

Its product of digits (1161216) is a multiple of the sum of its prime factors (324).

It is not an unprimeable number, because it can be changed into a prime (18791614463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77973384 + ... + 77973624.

It is an arithmetic number, because the mean of its divisors is an integer number (156906750).

Almost surely, 2^18791614464 is an apocalyptic number.

18791614464 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 18791614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30126096000).

18791614464 is an abundant number, since it is smaller than the sum of its proper divisors (41460577536).

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

18791614464 is an equidigital number, since it uses as much as digits as its factorization.

18791614464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 290 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 18791614464 in words is "eighteen billion, seven hundred ninety-one million, six hundred fourteen thousand, four hundred sixty-four".