48188806848 has 672 divisors, whose sum is σ = 184991654400. Its totient is φ = 11945428992.

The previous prime is 48188806733. The next prime is 48188806877. The reversal of 48188806848 is 84860888184.

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

It is a super-2 number, since 2×48188806848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 379439361 + ... + 379439487.

It is an arithmetic number, because the mean of its divisors is an integer number (275285200).

Almost surely, 2^48188806848 is an apocalyptic number.

48188806848 is a gapful number since it is divisible by the number (48) 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 48188806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92495827200).

48188806848 is an abundant number, since it is smaller than the sum of its proper divisors (136802847552).

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

48188806848 is a wasteful number, since it uses less digits than its factorization.

48188806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 63.

The spelling of 48188806848 in words is "forty-eight billion, one hundred eighty-eight million, eight hundred six thousand, eight hundred forty-eight".