13823473500 has 768 divisors, whose sum is σ = 51325747200. Its totient is φ = 3193344000.

The previous prime is 13823473481. The next prime is 13823473513. The reversal of 13823473500 is 537432831.

13823473500 is a `hidden beast` number, since 1 + 3 + 82 + 3 + 4 + 73 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 206320467 + ... + 206320533.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 2^13823473500 is an apocalyptic number.

13823473500 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 13823473500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

13823473500 is an abundant number, since it is smaller than the sum of its proper divisors (37502273700).

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

13823473500 is a wasteful number, since it uses less digits than its factorization.

13823473500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13823473500 in words is "thirteen billion, eight hundred twenty-three million, four hundred seventy-three thousand, five hundred".