47418847326144 has 336 divisors, whose sum is σ = 163028327524608. Its totient is φ = 13385007710208.

The previous prime is 47418847326079. The next prime is 47418847326161. The reversal of 47418847326144 is 44162374881474.

47418847326144 is a `hidden beast` number, since 4 + 7 + 4 + 1 + 8 + 8 + 4 + 7 + 3 + 2 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6411744 + ... + 11659680.

It is an arithmetic number, because the mean of its divisors is an integer number (485203355728).

Almost surely, 2^{47418847326144} 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 47418847326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81514163762304).

47418847326144 is an abundant number, since it is smaller than the sum of its proper divisors (115609480198464).

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

47418847326144 is an equidigital number, since it uses as much as digits as its factorization.

47418847326144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248054 (or 5248032 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 63.

The spelling of 47418847326144 in words is "forty-seven trillion, four hundred eighteen billion, eight hundred forty-seven million, three hundred twenty-six thousand, one hundred forty-four".