48746893440 has 768 divisors, whose sum is σ = 198169027200. Its totient is φ = 10115481600.

The previous prime is 48746893313. The next prime is 48746893451. The reversal of 48746893440 is 4439864784.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46380915 + ... + 46381965.

Almost surely, 2^48746893440 is an apocalyptic number.

48746893440 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 48746893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99084513600).

48746893440 is an abundant number, since it is smaller than the sum of its proper divisors (149422133760).

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

48746893440 is a wasteful number, since it uses less digits than its factorization.

48746893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 48746893440 in words is "forty-eight billion, seven hundred forty-six million, eight hundred ninety-three thousand, four hundred forty".