18879291648 has 576 divisors, whose sum is σ = 67689431040. Its totient is φ = 5076172800.

The previous prime is 18879291647. The next prime is 18879291659. The reversal of 18879291648 is 84619297881.

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 (63).

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

It is not an unprimeable number, because it can be changed into a prime (18879291647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61495911 + ... + 61496217.

Almost surely, 2^18879291648 is an apocalyptic number.

18879291648 is a gapful number since it is divisible by the number (18) 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 18879291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33844715520).

18879291648 is an abundant number, since it is smaller than the sum of its proper divisors (48810139392).

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

18879291648 is a wasteful number, since it uses less digits than its factorization.

18879291648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 391 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 18879291648 in words is "eighteen billion, eight hundred seventy-nine million, two hundred ninety-one thousand, six hundred forty-eight".