48609118440 has 128 divisors (see below), whose sum is σ = 162299520000. Its totient is φ = 12940902144.

The previous prime is 48609118433. The next prime is 48609118457. The reversal of 48609118440 is 4481190684.

48609118440 is a `hidden beast` number, since 486 + 0 + 91 + 1 + 84 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 618486 + ... + 692634.

It is an arithmetic number, because the mean of its divisors is an integer number (1267965000).

Almost surely, 2^48609118440 is an apocalyptic number.

48609118440 is a gapful number since it is divisible by the number (40) 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 48609118440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81149760000).

48609118440 is an abundant number, since it is smaller than the sum of its proper divisors (113690401560).

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

48609118440 is a wasteful number, since it uses less digits than its factorization.

48609118440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74776 (or 74766 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 48609118440 in words is "forty-eight billion, six hundred nine million, one hundred eighteen thousand, four hundred forty".