47641388314674 has 128 divisors (see below), whose sum is σ = 125198761605120. Its totient is φ = 11708822246400.

The previous prime is 47641388314669. The next prime is 47641388314687.

47641388314674 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

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, 3901402 + ... + 10512074.

It is an arithmetic number, because the mean of its divisors is an integer number (978115325040).

Almost surely, 2^{47641388314674} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47641388314674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62599380802560).

47641388314674 is an abundant number, since it is smaller than the sum of its proper divisors (77557373290446).

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

47641388314674 is a wasteful number, since it uses less digits than its factorization.

47641388314674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6611536.

The product of its digits is 260112384, while the sum is 66.

The spelling of 47641388314674 in words is "forty-seven trillion, six hundred forty-one billion, three hundred eighty-eight million, three hundred fourteen thousand, six hundred seventy-four".