47850217141584 has 960 divisors, whose sum is σ = 160912580935680. Its totient is φ = 12097403136000.

The previous prime is 47850217141543. The next prime is 47850217141687. The reversal of 47850217141584 is 48514171205874.

It is a happy number.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3731586597 + ... + 3731599419.

It is an arithmetic number, because the mean of its divisors is an integer number (167617271808).

Almost surely, 2^{47850217141584} is an apocalyptic number.

47850217141584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47850217141584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80456290467840).

47850217141584 is an abundant number, since it is smaller than the sum of its proper divisors (113062363794096).

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

47850217141584 is a wasteful number, since it uses less digits than its factorization.

47850217141584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12992 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 57.

The spelling of 47850217141584 in words is "forty-seven trillion, eight hundred fifty billion, two hundred seventeen million, one hundred forty-one thousand, five hundred eighty-four".