47846605057408 has 128 divisors (see below), whose sum is σ = 96706489924800. Its totient is φ = 23577453527040.

The previous prime is 47846605057397. The next prime is 47846605057423. The reversal of 47846605057408 is 80475050664874.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 47846605057408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2974232341 + ... + 2974248427.

Almost surely, 2^{47846605057408} 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 47846605057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48353244962400).

47846605057408 is an abundant number, since it is smaller than the sum of its proper divisors (48859884867392).

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

47846605057408 is a wasteful number, since it uses less digits than its factorization.

47846605057408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17188 (or 17176 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 64.

The spelling of 47846605057408 in words is "forty-seven trillion, eight hundred forty-six billion, six hundred five million, fifty-seven thousand, four hundred eight".