48380450688 has 256 divisors, whose sum is σ = 157766745600. Its totient is φ = 14517854208.

The previous prime is 48380450659. The next prime is 48380450719. The reversal of 48380450688 is 88605408384.

48380450688 is a `hidden beast` number, since 483 + 80 + 4 + 5 + 0 + 6 + 88 = 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 31 ways as a sum of consecutive naturals, for example, 1333395 + ... + 1369197.

It is an arithmetic number, because the mean of its divisors is an integer number (616276350).

Almost surely, 2^48380450688 is an apocalyptic number.

48380450688 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 48380450688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78883372800).

48380450688 is an abundant number, since it is smaller than the sum of its proper divisors (109386294912).

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

48380450688 is a wasteful number, since it uses less digits than its factorization.

48380450688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35866 (or 35848 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 48380450688 in words is "forty-eight billion, three hundred eighty million, four hundred fifty thousand, six hundred eighty-eight".