48684892247040 has 704 divisors, whose sum is σ = 179635863859200. Its totient is φ = 11023584067584.

The previous prime is 48684892247027. The next prime is 48684892247059. The reversal of 48684892247040 is 4074229848684.

48684892247040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7278348016 + ... + 7278354704.

Almost surely, 2^{48684892247040} is an apocalyptic number.

48684892247040 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 48684892247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89817931929600).

48684892247040 is an abundant number, since it is smaller than the sum of its proper divisors (130950971612160).

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

48684892247040 is a wasteful number, since it uses less digits than its factorization.

48684892247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 7332 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 66.

The spelling of 48684892247040 in words is "forty-eight trillion, six hundred eighty-four billion, eight hundred ninety-two million, two hundred forty-seven thousand, forty".