47378854944256 has 320 divisors, whose sum is σ = 107215008246720. Its totient is φ = 20726710272000.

The previous prime is 47378854944143. The next prime is 47378854944329. The reversal of 47378854944256 is 65244945887374.

47378854944256 is digitally balanced in base 2, 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17285243046 + ... + 17285245786.

It is an arithmetic number, because the mean of its divisors is an integer number (335046900771).

Almost surely, 2^{47378854944256} 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 47378854944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53607504123360).

47378854944256 is an abundant number, since it is smaller than the sum of its proper divisors (59836153302464).

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

47378854944256 is a wasteful number, since it uses less digits than its factorization.

47378854944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3661 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 76.

The spelling of 47378854944256 in words is "forty-seven trillion, three hundred seventy-eight billion, eight hundred fifty-four million, nine hundred forty-four thousand, two hundred fifty-six".