13925072448 has 672 divisors, whose sum is σ = 50661417600. Its totient is φ = 3733696512.

The previous prime is 13925072423. The next prime is 13925072461. The reversal of 13925072448 is 84427052931.

13925072448 is a `hidden beast` number, since 1 + 3 + 92 + 50 + 72 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130140811 + ... + 130140917.

Almost surely, 2^13925072448 is an apocalyptic number.

13925072448 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 13925072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25330708800).

13925072448 is an abundant number, since it is smaller than the sum of its proper divisors (36736345152).

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

13925072448 is a wasteful number, since it uses less digits than its factorization.

13925072448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13925072448 in words is "thirteen billion, nine hundred twenty-five million, seventy-two thousand, four hundred forty-eight".