48730968000 has 672 divisors, whose sum is σ = 204837377472. Its totient is φ = 10902528000.

The previous prime is 48730967983. The next prime is 48730968017. The reversal of 48730968000 is 86903784.

It is a happy number.

48730968000 is a `hidden beast` number, since 487 + 3 + 0 + 96 + 80 + 0 + 0 = 666.

48730968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48730967983) and next prime (48730968017).

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

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, 10293634 + ... + 10298366.

It is an arithmetic number, because the mean of its divisors is an integer number (304817526).

Almost surely, 2^48730968000 is an apocalyptic number.

48730968000 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 48730968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102418688736).

48730968000 is an abundant number, since it is smaller than the sum of its proper divisors (156106409472).

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

48730968000 is a wasteful number, since it uses less digits than its factorization.

48730968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 4767 counting only the distinct ones).

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

The spelling of 48730968000 in words is "forty-eight billion, seven hundred thirty million, nine hundred sixty-eight thousand".