48458861100 has 432 divisors, whose sum is σ = 167201798400. Its totient is φ = 11667248640.

The previous prime is 48458861021. The next prime is 48458861123. The reversal of 48458861100 is 116885484.

48458861100 is a `hidden beast` number, since 4 + 8 + 4 + 588 + 61 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×48458861100² (a number of 22 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 134982721 + ... + 134983079.

It is an arithmetic number, because the mean of its divisors is an integer number (387041200).

Almost surely, 2^48458861100 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 48458861100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83600899200).

48458861100 is an abundant number, since it is smaller than the sum of its proper divisors (118742937300).

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

48458861100 is a wasteful number, since it uses less digits than its factorization.

48458861100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 48458861100 in words is "forty-eight billion, four hundred fifty-eight million, eight hundred sixty-one thousand, one hundred".