48052251648 has 352 divisors, whose sum is σ = 147855628800. Its totient is φ = 15403696128.

The previous prime is 48052251563. The next prime is 48052251649. The reversal of 48052251648 is 84615225084.

48052251648 is a `hidden beast` number, since 4 + 80 + 52 + 2 + 516 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (48052251649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109458213 + ... + 109458651.

It is an arithmetic number, because the mean of its divisors is an integer number (420044400).

Almost surely, 2^48052251648 is an apocalyptic number.

48052251648 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 48052251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73927814400).

48052251648 is an abundant number, since it is smaller than the sum of its proper divisors (99803377152).

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

48052251648 is a wasteful number, since it uses less digits than its factorization.

48052251648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 48052251648 in words is "forty-eight billion, fifty-two million, two hundred fifty-one thousand, six hundred forty-eight".