48061700568 has 288 divisors, whose sum is σ = 157591848960. Its totient is φ = 13722579360.

The previous prime is 48061700543. The next prime is 48061700623. The reversal of 48061700568 is 86500716084.

It is a happy number.

48061700568 is a `hidden beast` number, since 4 + 80 + 6 + 1 + 7 + 0 + 0 + 568 = 666.

48061700568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48061700568³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32672073 + ... + 32673543.

It is an arithmetic number, because the mean of its divisors is an integer number (547193920).

Almost surely, 2^48061700568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48061700568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78795924480).

48061700568 is an abundant number, since it is smaller than the sum of its proper divisors (109530148392).

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

48061700568 is an frugal number, since it uses more digits than its factorization.

48061700568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48061700568 in words is "forty-eight billion, sixty-one million, seven hundred thousand, five hundred sixty-eight".