48762450048 has 64 divisors (see below), whose sum is σ = 139488753600. Its totient is φ = 15003829248.

The previous prime is 48762450013. The next prime is 48762450071. The reversal of 48762450048 is 84005426784.

48762450048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×48762450048⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 48762449979 and 48762450006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4879068 + ... + 4889051.

It is an arithmetic number, because the mean of its divisors is an integer number (2179511775).

Almost surely, 2^48762450048 is an apocalyptic number.

48762450048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48762450048 is an abundant number, since it is smaller than the sum of its proper divisors (90726303552).

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

48762450048 is a wasteful number, since it uses less digits than its factorization.

48762450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9768149 (or 9768137 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 48762450048 in words is "forty-eight billion, seven hundred sixty-two million, four hundred fifty thousand, forty-eight".