48457464624 has 300 divisors, whose sum is σ = 151646688336. Its totient is φ = 14909723136.

The previous prime is 48457464623. The next prime is 48457464631. The reversal of 48457464624 is 42646475484.

48457464624 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 7 + 4 + 6 + 4 + 624 = 666.

It is a super-2 number, since 2×48457464624² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48457464623) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25067562 + ... + 25069494.

Almost surely, 2^48457464624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48457464624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75823344168).

48457464624 is an abundant number, since it is smaller than the sum of its proper divisors (103189223712).

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

48457464624 is a wasteful number, since it uses less digits than its factorization.

48457464624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 1990 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 54.

The spelling of 48457464624 in words is "forty-eight billion, four hundred fifty-seven million, four hundred sixty-four thousand, six hundred twenty-four".