13674028095 has 256 divisors, whose sum is σ = 30958018560. Its totient is φ = 5573836800.

The previous prime is 13674028073. The next prime is 13674028127. The reversal of 13674028095 is 59082047631.

13674028095 is a `hidden beast` number, since 1 + 367 + 4 + 0 + 280 + 9 + 5 = 666.

It is a Cunningham number, because it is equal to 116936²-1.

It is not a de Polignac number, because 13674028095 - 2⁹ = 13674027583 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13674028095.

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, 53206207 + ... + 53206463.

It is an arithmetic number, because the mean of its divisors is an integer number (120929760).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13674028095 = 27348056190, but 3⋅13674028095 = 41022084285 is not.

Almost surely, 2^13674028095 is an apocalyptic number.

13674028095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13674028095 is an abundant number, since it is smaller than the sum of its proper divisors (17283990465).

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

13674028095 is a wasteful number, since it uses less digits than its factorization.

13674028095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13674028095 in words is "thirteen billion, six hundred seventy-four million, twenty-eight thousand, ninety-five".