48413671488 has 756 divisors, whose sum is σ = 181516969452. Its totient is φ = 12697896960.

The previous prime is 48413671469. The next prime is 48413671531. The reversal of 48413671488 is 88417631484.

48413671488 is a `hidden beast` number, since 4 + 84 + 13 + 6 + 71 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2962842624 + 45450828864 = 54432^2 + 213192^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 267478758 + ... + 267478938.

Almost surely, 2^48413671488 is an apocalyptic number.

48413671488 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 48413671488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90758484726).

48413671488 is an abundant number, since it is smaller than the sum of its proper divisors (133103297964).

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

48413671488 is an equidigital number, since it uses as much as digits as its factorization.

48413671488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 206 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 48413671488 in words is "forty-eight billion, four hundred thirteen million, six hundred seventy-one thousand, four hundred eighty-eight".