47353433624672 has 96 divisors (see below), whose sum is σ = 107669227760640. Its totient is φ = 20080491148800.

The previous prime is 47353433624659. The next prime is 47353433624681. The reversal of 47353433624672 is 27642633435374.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34599533 + ... + 35942099.

It is an arithmetic number, because the mean of its divisors is an integer number (1121554455840).

Almost surely, 2^{47353433624672} 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 47353433624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53834613880320).

47353433624672 is an abundant number, since it is smaller than the sum of its proper divisors (60315794135968).

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

47353433624672 is a wasteful number, since it uses less digits than its factorization.

47353433624672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344244 (or 1344236 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 59.

The spelling of 47353433624672 in words is "forty-seven trillion, three hundred fifty-three billion, four hundred thirty-three million, six hundred twenty-four thousand, six hundred seventy-two".