48417094656 has 704 divisors, whose sum is σ = 174502656000. Its totient is φ = 12963151872.

The previous prime is 48417094637. The next prime is 48417094667. The reversal of 48417094656 is 65649071484.

48417094656 is a `hidden beast` number, since 4 + 8 + 4 + 170 + 9 + 465 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324946870 + ... + 324947018.

Almost surely, 2^48417094656 is an apocalyptic number.

48417094656 is a gapful number since it is divisible by the number (46) 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 48417094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87251328000).

48417094656 is an abundant number, since it is smaller than the sum of its proper divisors (126085561344).

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

48417094656 is a wasteful number, since it uses less digits than its factorization.

48417094656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 48417094656 in words is "forty-eight billion, four hundred seventeen million, ninety-four thousand, six hundred fifty-six".