48509347392 has 336 divisors, whose sum is σ = 158106416832. Its totient is φ = 14624686080.

The previous prime is 48509347339. The next prime is 48509347421. The reversal of 48509347392 is 29374390584.

48509347392 is a `hidden beast` number, since 4 + 8 + 509 + 3 + 47 + 3 + 92 = 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, 39859168 + ... + 39860384.

It is an arithmetic number, because the mean of its divisors is an integer number (470554812).

Almost surely, 2^48509347392 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 48509347392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79053208416).

48509347392 is an abundant number, since it is smaller than the sum of its proper divisors (109597069440).

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

48509347392 is a wasteful number, since it uses less digits than its factorization.

48509347392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 48509347392 in words is "forty-eight billion, five hundred nine million, three hundred forty-seven thousand, three hundred ninety-two".