48308316131712 has 1152 divisors, whose sum is σ = 170265923976960. Its totient is φ = 12070863028224.

The previous prime is 48308316131707. The next prime is 48308316131741. The reversal of 48308316131712 is 21713161380384.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7825740658 + ... + 7825746830.

It is an arithmetic number, because the mean of its divisors is an integer number (147800281230).

Almost surely, 2^{48308316131712} is an apocalyptic number.

48308316131712 is a gapful number since it is divisible by the number (42) 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 48308316131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85132961988480).

48308316131712 is an abundant number, since it is smaller than the sum of its proper divisors (121957607845248).

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

48308316131712 is a wasteful number, since it uses less digits than its factorization.

48308316131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 48308316131712 in words is "forty-eight trillion, three hundred eight billion, three hundred sixteen million, one hundred thirty-one thousand, seven hundred twelve".