48392117748000 has 864 divisors, whose sum is σ = 187312102024320. Its totient is φ = 11826002073600.

The previous prime is 48392117747951. The next prime is 48392117748011. The reversal of 48392117748000 is 84771129384.

48392117748000 is a `hidden beast` number, since 4 + 8 + 3 + 92 + 1 + 1 + 77 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 845647389 + ... + 845704611.

It is an arithmetic number, because the mean of its divisors is an integer number (216796414380).

Almost surely, 2^{48392117748000} is an apocalyptic number.

48392117748000 is a gapful number since it is divisible by the number (40) 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 48392117748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93656051012160).

48392117748000 is an abundant number, since it is smaller than the sum of its proper divisors (138919984276320).

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

48392117748000 is a wasteful number, since it uses less digits than its factorization.

48392117748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57419 (or 57385 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 48392117748000 in words is "forty-eight trillion, three hundred ninety-two billion, one hundred seventeen million, seven hundred forty-eight thousand".