48414034368 has 1120 divisors, whose sum is σ = 186941399040. Its totient is φ = 12070840320.

The previous prime is 48414034301. The next prime is 48414034397. The reversal of 48414034368 is 86343041484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 681887773 + ... + 681887843.

Almost surely, 2^48414034368 is an apocalyptic number.

48414034368 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 48414034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93470699520).

48414034368 is an abundant number, since it is smaller than the sum of its proper divisors (138527364672).

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

48414034368 is a wasteful number, since it uses less digits than its factorization.

48414034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 48414034368 in words is "forty-eight billion, four hundred fourteen million, thirty-four thousand, three hundred sixty-eight".