14771074100 has 72 divisors (see below), whose sum is σ = 32954437656. Its totient is φ = 5743360000.

The previous prime is 14771074079. The next prime is 14771074127. The reversal of 14771074100 is 147017741.

It can be written as a sum of positive squares in 12 ways, for example, as 10466926864 + 4304147236 = 102308^2 + 65606^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145690 + ... + 1158510.

It is an arithmetic number, because the mean of its divisors is an integer number (457700523).

Almost surely, 2^14771074100 is an apocalyptic number.

14771074100 is a gapful number since it is divisible by the number (10) 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 14771074100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477218828).

14771074100 is an abundant number, since it is smaller than the sum of its proper divisors (18183363556).

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

14771074100 is a wasteful number, since it uses less digits than its factorization.

14771074100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13157 (or 13150 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The spelling of 14771074100 in words is "fourteen billion, seven hundred seventy-one million, seventy-four thousand, one hundred".