47591810199648 has 768 divisors, whose sum is σ = 167442673305600. Its totient is φ = 12957511680000.

The previous prime is 47591810199623. The next prime is 47591810199683. The reversal of 47591810199648 is 84699101819574.

47591810199648 is a `hidden beast` number, since 4 + 7 + 591 + 8 + 10 + 19 + 9 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2223801748 + ... + 2223823148.

It is an arithmetic number, because the mean of its divisors is an integer number (218024314200).

Almost surely, 2^{47591810199648} is an apocalyptic number.

47591810199648 is a gapful number since it is divisible by the number (48) 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 47591810199648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721336652800).

47591810199648 is an abundant number, since it is smaller than the sum of its proper divisors (119850863105952).

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

47591810199648 is a wasteful number, since it uses less digits than its factorization.

47591810199648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21924 (or 21910 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 47591810199648 in words is "forty-seven trillion, five hundred ninety-one billion, eight hundred ten million, one hundred ninety-nine thousand, six hundred forty-eight".