47050792045824 has 576 divisors, whose sum is σ = 159348801024000. Its totient is φ = 12014914830336.

The previous prime is 47050792045799. The next prime is 47050792045837. The reversal of 47050792045824 is 42854029705074.

47050792045824 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171362602 + ... + 171636950.

It is an arithmetic number, because the mean of its divisors is an integer number (276647224000).

Almost surely, 2^{47050792045824} 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 47050792045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79674400512000).

47050792045824 is an abundant number, since it is smaller than the sum of its proper divisors (112298008978176).

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

47050792045824 is a wasteful number, since it uses less digits than its factorization.

47050792045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274490 (or 274476 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 47050792045824 in words is "forty-seven trillion, fifty billion, seven hundred ninety-two million, forty-five thousand, eight hundred twenty-four".