48291308352 has 672 divisors, whose sum is σ = 177633863680. Its totient is φ = 12697896960.

The previous prime is 48291308311. The next prime is 48291308381. The reversal of 48291308352 is 25380319284.

48291308352 is a `hidden beast` number, since 4 + 8 + 291 + 3 + 0 + 8 + 352 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48291308298 and 48291308307.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 76531077 + ... + 76531707.

Almost surely, 2^48291308352 is an apocalyptic number.

48291308352 is a gapful number since it is divisible by the number (42) 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 48291308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88816931840).

48291308352 is an abundant number, since it is smaller than the sum of its proper divisors (129342555328).

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

48291308352 is a wasteful number, since it uses less digits than its factorization.

48291308352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48291308352 in words is "forty-eight billion, two hundred ninety-one million, three hundred eight thousand, three hundred fifty-two".