48759746112 has 672 divisors, whose sum is σ = 183383675904. Its totient is φ = 12018585600.

The previous prime is 48759746107. The next prime is 48759746131. The reversal of 48759746112 is 21164795784.

48759746112 is a `hidden beast` number, since 4 + 8 + 7 + 597 + 46 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 70563687 + ... + 70564377.

Almost surely, 2^48759746112 is an apocalyptic number.

48759746112 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 48759746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91691837952).

48759746112 is an abundant number, since it is smaller than the sum of its proper divisors (134623929792).

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

48759746112 is a wasteful number, since it uses less digits than its factorization.

48759746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 794 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 48759746112 in words is "forty-eight billion, seven hundred fifty-nine million, seven hundred forty-six thousand, one hundred twelve".