13865748300 has 216 divisors, whose sum is σ = 44103739680. Its totient is φ = 3643315200.

The previous prime is 13865748269. The next prime is 13865748307. The reversal of 13865748300 is 384756831.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13865748307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27565849 + ... + 27566351.

It is an arithmetic number, because the mean of its divisors is an integer number (204183980).

Almost surely, 2^13865748300 is an apocalyptic number.

13865748300 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 13865748300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22051869840).

13865748300 is an abundant number, since it is smaller than the sum of its proper divisors (30237991380).

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

13865748300 is a wasteful number, since it uses less digits than its factorization.

13865748300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13865748300 in words is "thirteen billion, eight hundred sixty-five million, seven hundred forty-eight thousand, three hundred".