13854052738304 has 144 divisors (see below), whose sum is σ = 28609130328576. Its totient is φ = 6690694348800.

The previous prime is 13854052738283. The next prime is 13854052738307. The reversal of 13854052738304 is 40383725045831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13854052738307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721292669 + ... + 721311875.

Almost surely, 2^{13854052738304} 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 13854052738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14304565164288).

13854052738304 is an abundant number, since it is smaller than the sum of its proper divisors (14755077590272).

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

13854052738304 is a wasteful number, since it uses less digits than its factorization.

13854052738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19812 (or 19798 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 53.

The spelling of 13854052738304 in words is "thirteen trillion, eight hundred fifty-four billion, fifty-two million, seven hundred thirty-eight thousand, three hundred four".