47731613359100 has 216 divisors, whose sum is σ = 123275542120752. Its totient is φ = 15894437068800.

The previous prime is 47731613359057. The next prime is 47731613359121. The reversal of 47731613359100 is 195331613774.

It is a super-2 number, since 2×47731613359100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9733292 + ... + 13791308.

Almost surely, 2^{47731613359100} 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 47731613359100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61637771060376).

47731613359100 is an abundant number, since it is smaller than the sum of its proper divisors (75543928761652).

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

47731613359100 is a wasteful number, since it uses less digits than its factorization.

47731613359100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058113 (or 4058089 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 50.

The spelling of 47731613359100 in words is "forty-seven trillion, seven hundred thirty-one billion, six hundred thirteen million, three hundred fifty-nine thousand, one hundred".