48523148023392 has 576 divisors, whose sum is σ = 173366838086400. Its totient is φ = 13128789381120.

The previous prime is 48523148023313. The next prime is 48523148023439. The reversal of 48523148023392 is 29332084132584.

48523148023392 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 314 + 8 + 0 + 233 + 92 = 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 95 ways as a sum of consecutive naturals, for example, 2254677592 + ... + 2254699112.

It is an arithmetic number, because the mean of its divisors is an integer number (300984093900).

Almost surely, 2^{48523148023392} is an apocalyptic number.

48523148023392 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 48523148023392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86683419043200).

48523148023392 is an abundant number, since it is smaller than the sum of its proper divisors (124843690063008).

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

48523148023392 is a wasteful number, since it uses less digits than its factorization.

48523148023392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24376 (or 24355 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 48523148023392 in words is "forty-eight trillion, five hundred twenty-three billion, one hundred forty-eight million, twenty-three thousand, three hundred ninety-two".