48960413712000 has 6144 divisors, whose sum is σ = 236451301632000. Its totient is φ = 9809952768000.

The previous prime is 48960413711921. The next prime is 48960413712083. The reversal of 48960413712000 is 21731406984.

48960413712000 is a `hidden beast` number, since 4 + 8 + 9 + 604 + 1 + 37 + 1 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×48960413712000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 550117007956 + ... + 550117008044.

It is an arithmetic number, because the mean of its divisors is an integer number (38484912375).

Almost surely, 2^{48960413712000} is an apocalyptic number.

48960413712000 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 48960413712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118225650816000).

48960413712000 is an abundant number, since it is smaller than the sum of its proper divisors (187490887920000).

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

48960413712000 is a wasteful number, since it uses less digits than its factorization.

48960413712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48960413712000 in words is "forty-eight trillion, nine hundred sixty billion, four hundred thirteen million, seven hundred twelve thousand".