48746755440 has 240 divisors, whose sum is σ = 165705965568. Its totient is φ = 12841403904.

The previous prime is 48746755439. The next prime is 48746755457. The reversal of 48746755440 is 4455764784.

48746755440 is a `hidden beast` number, since 4 + 8 + 7 + 46 + 7 + 554 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24047707 + ... + 24049733.

Almost surely, 2^48746755440 is an apocalyptic number.

48746755440 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 48746755440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82852982784).

48746755440 is an abundant number, since it is smaller than the sum of its proper divisors (116959210128).

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

48746755440 is a wasteful number, since it uses less digits than its factorization.

48746755440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 48746755440 in words is "forty-eight billion, seven hundred forty-six million, seven hundred fifty-five thousand, four hundred forty".