48542264064 has 288 divisors, whose sum is σ = 165762186240. Its totient is φ = 13724909568.

The previous prime is 48542264059. The next prime is 48542264119. The reversal of 48542264064 is 46046224584.

48542264064 is a `hidden beast` number, since 4 + 8 + 542 + 2 + 6 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4688077 + ... + 4698419.

Almost surely, 2^48542264064 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 48542264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82881093120).

48542264064 is an abundant number, since it is smaller than the sum of its proper divisors (117219922176).

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

48542264064 is a wasteful number, since it uses less digits than its factorization.

48542264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10472 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 48542264064 in words is "forty-eight billion, five hundred forty-two million, two hundred sixty-four thousand, sixty-four".