4731516114100 has 144 divisors (see below), whose sum is σ = 11447059216320. Its totient is φ = 1687004928000.

The previous prime is 4731516114071. The next prime is 4731516114131. The reversal of 4731516114100 is 14116151374.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113578275 + ... + 113619925.

It is an arithmetic number, because the mean of its divisors is an integer number (79493466780).

Almost surely, 2^{4731516114100} 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 4731516114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723529608160).

4731516114100 is an abundant number, since it is smaller than the sum of its proper divisors (6715543102220).

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

4731516114100 is a wasteful number, since it uses less digits than its factorization.

4731516114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45218 (or 45211 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 4731516114100 in words is "four trillion, seven hundred thirty-one billion, five hundred sixteen million, one hundred fourteen thousand, one hundred".