47251444415274 has 128 divisors (see below), whose sum is σ = 115683328051200. Its totient is φ = 14177509810560.

The previous prime is 47251444415243. The next prime is 47251444415311.

47251444415274 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 144 + 441 + 52 + 7 + 4 = 666.

47251444415274 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 47251444415274.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23820307 + ... + 25727609.

It is an arithmetic number, because the mean of its divisors is an integer number (903776000400).

Almost surely, 2^{47251444415274} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47251444415274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57841664025600).

47251444415274 is an abundant number, since it is smaller than the sum of its proper divisors (68431883635926).

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

47251444415274 is a wasteful number, since it uses less digits than its factorization.

47251444415274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907737 (or 1907731 counting only the distinct ones).

The product of its digits is 20070400, while the sum is 54.

The spelling of 47251444415274 in words is "forty-seven trillion, two hundred fifty-one billion, four hundred forty-four million, four hundred fifteen thousand, two hundred seventy-four".