13114400450004 has 144 divisors (see below), whose sum is σ = 38333235403008. Its totient is φ = 3703003444224.

The previous prime is 13114400449991. The next prime is 13114400450029. The reversal of 13114400450004 is 40005400441131.

13114400450004 is a `hidden beast` number, since 1 + 3 + 114 + 40 + 0 + 4 + 500 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13114400450004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6379884 + ... + 8181180.

It is an arithmetic number, because the mean of its divisors is an integer number (266203023632).

Almost surely, 2^{13114400450004} is an apocalyptic number.

13114400450004 is a gapful number since it is divisible by the number (14) 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 13114400450004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166617701504).

13114400450004 is an abundant number, since it is smaller than the sum of its proper divisors (25218834953004).

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

13114400450004 is a wasteful number, since it uses less digits than its factorization.

13114400450004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801654 (or 1801649 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13114400450004 its reverse (40005400441131), we get a palindrome (53119800891135).

The spelling of 13114400450004 in words is "thirteen trillion, one hundred fourteen billion, four hundred million, four hundred fifty thousand, four".