13904610048 has 648 divisors, whose sum is σ = 50163684480. Its totient is φ = 3684925440.

The previous prime is 13904610023. The next prime is 13904610053. The reversal of 13904610048 is 84001640931.

13904610048 is a `hidden beast` number, since 1 + 39 + 0 + 4 + 610 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13904609994 and 13904610021.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101493436 + ... + 101493572.

Almost surely, 2^13904610048 is an apocalyptic number.

13904610048 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 13904610048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25081842240).

13904610048 is an abundant number, since it is smaller than the sum of its proper divisors (36259074432).

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

13904610048 is a wasteful number, since it uses less digits than its factorization.

13904610048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13904610048 in words is "thirteen billion, nine hundred four million, six hundred ten thousand, forty-eight".