48564942336 has 480 divisors, whose sum is σ = 156138444000. Its totient is φ = 14885240832.

The previous prime is 48564942329. The next prime is 48564942353. The reversal of 48564942336 is 63324946584.

48564942336 is a `hidden beast` number, since 4 + 8 + 564 + 9 + 42 + 3 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212073870 + ... + 212074098.

It is an arithmetic number, because the mean of its divisors is an integer number (325288425).

Almost surely, 2^48564942336 is an apocalyptic number.

48564942336 is a gapful number since it is divisible by the number (46) 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 48564942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78069222000).

48564942336 is an abundant number, since it is smaller than the sum of its proper divisors (107573501664).

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

48564942336 is a wasteful number, since it uses less digits than its factorization.

48564942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 286 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 48564942336 in words is "forty-eight billion, five hundred sixty-four million, nine hundred forty-two thousand, three hundred thirty-six".