48348103755744 has 1200 divisors, whose sum is σ = 166708140152400. Its totient is φ = 13697711898624.

The previous prime is 48348103755727. The next prime is 48348103755761. The reversal of 48348103755744 is 44755730184384.

48348103755744 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 8 + 1 + 0 + 37 + 557 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (48348103755727) and next prime (48348103755761).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 52043168272 + ... + 52043169200.

It is an arithmetic number, because the mean of its divisors is an integer number (138923450127).

Almost surely, 2^{48348103755744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48348103755744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83354070076200).

48348103755744 is an abundant number, since it is smaller than the sum of its proper divisors (118360036396656).

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

48348103755744 is an equidigital number, since it uses as much as digits as its factorization.

48348103755744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 48348103755744 in words is "forty-eight trillion, three hundred forty-eight billion, one hundred three million, seven hundred fifty-five thousand, seven hundred forty-four".