48713672448 has 432 divisors, whose sum is σ = 171421286400. Its totient is φ = 12987039744.

The previous prime is 48713672401. The next prime is 48713672467. The reversal of 48713672448 is 84427631784.

48713672448 is a `hidden beast` number, since 487 + 136 + 7 + 24 + 4 + 8 = 666.

48713672448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 48713672394 and 48713672403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34819653 + ... + 34821051.

Almost surely, 2^48713672448 is an apocalyptic number.

48713672448 is a gapful number since it is divisible by the number (48) 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 48713672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85710643200).

48713672448 is an abundant number, since it is smaller than the sum of its proper divisors (122707613952).

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

48713672448 is a wasteful number, since it uses less digits than its factorization.

48713672448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1555 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 48713672448 in words is "forty-eight billion, seven hundred thirteen million, six hundred seventy-two thousand, four hundred forty-eight".