13906274304 has 192 divisors, whose sum is σ = 40864824000. Its totient is φ = 4178313216.

The previous prime is 13906274293. The next prime is 13906274309. The reversal of 13906274304 is 40347260931.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13906274309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3432472 + ... + 3436520.

It is an arithmetic number, because the mean of its divisors is an integer number (212837625).

Almost surely, 2^13906274304 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 13906274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20432412000).

13906274304 is an abundant number, since it is smaller than the sum of its proper divisors (26958549696).

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

13906274304 is a wasteful number, since it uses less digits than its factorization.

13906274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

It can be divided in two parts, 1390627 and 4304, that added together give a palindrome (1394931).

The spelling of 13906274304 in words is "thirteen billion, nine hundred six million, two hundred seventy-four thousand, three hundred four".