48412740699648 has 960 divisors, whose sum is σ = 165551675889600. Its totient is φ = 13484225986560.

The previous prime is 48412740699613. The next prime is 48412740699679. The reversal of 48412740699648 is 84699604721484.

48412740699648 is a `hidden beast` number, since 4 + 8 + 4 + 127 + 406 + 9 + 96 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 3201681528 + ... + 3201696648.

It is an arithmetic number, because the mean of its divisors is an integer number (172449662385).

Almost surely, 2^{48412740699648} is an apocalyptic number.

48412740699648 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 48412740699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82775837944800).

48412740699648 is an abundant number, since it is smaller than the sum of its proper divisors (117138935189952).

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

48412740699648 is a wasteful number, since it uses less digits than its factorization.

48412740699648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15303 (or 15284 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 48412740699648 in words is "forty-eight trillion, four hundred twelve billion, seven hundred forty million, six hundred ninety-nine thousand, six hundred forty-eight".