13194406158336 has 448 divisors, whose sum is σ = 42516999080640. Its totient is φ = 4019532595200.

The previous prime is 13194406158331. The next prime is 13194406158337. The reversal of 13194406158336 is 63385160449131.

13194406158336 is a `hidden beast` number, since 1 + 3 + 19 + 4 + 4 + 0 + 615 + 8 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×13194406158336² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13194406158331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290391876 + ... + 290437308.

It is an arithmetic number, because the mean of its divisors is an integer number (94904015805).

Almost surely, 2^{13194406158336} is an apocalyptic number.

13194406158336 is a gapful number since it is divisible by the number (16) 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 13194406158336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258499540320).

13194406158336 is an abundant number, since it is smaller than the sum of its proper divisors (29322592922304).

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

13194406158336 is a wasteful number, since it uses less digits than its factorization.

13194406158336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45582 (or 45552 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13194406158336 in words is "thirteen trillion, one hundred ninety-four billion, four hundred six million, one hundred fifty-eight thousand, three hundred thirty-six".