18638635248 has 200 divisors, whose sum is σ = 55216220400. Its totient is φ = 6067961856.

The previous prime is 18638635231. The next prime is 18638635277. The reversal of 18638635248 is 84253683681.

18638635248 is a `hidden beast` number, since 1 + 86 + 38 + 6 + 3 + 524 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18638635194 and 18638635203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13227568 + ... + 13228976.

It is an arithmetic number, because the mean of its divisors is an integer number (276081102).

Almost surely, 2^18638635248 is an apocalyptic number.

18638635248 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 18638635248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27608110200).

18638635248 is an abundant number, since it is smaller than the sum of its proper divisors (36577585152).

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

18638635248 is a wasteful number, since it uses less digits than its factorization.

18638635248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1646 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 18638635248 in words is "eighteen billion, six hundred thirty-eight million, six hundred thirty-five thousand, two hundred forty-eight".