48457543680 has 1248 divisors, whose sum is σ = 216387085824. Its totient is φ = 10128457728.

The previous prime is 48457543679. The next prime is 48457543697. The reversal of 48457543680 is 8634575484.

It is a happy number.

48457543680 is a `hidden beast` number, since 4 + 8 + 4 + 575 + 4 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 452874187 + ... + 452874293.

It is an arithmetic number, because the mean of its divisors is an integer number (173387088).

Almost surely, 2^48457543680 is an apocalyptic number.

48457543680 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 48457543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108193542912).

48457543680 is an abundant number, since it is smaller than the sum of its proper divisors (167929542144).

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

48457543680 is a wasteful number, since it uses less digits than its factorization.

48457543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 48457543680 in words is "forty-eight billion, four hundred fifty-seven million, five hundred forty-three thousand, six hundred eighty".