13464194236416 has 1920 divisors, whose sum is σ = 52762063011840. Its totient is φ = 3291217920000.

The previous prime is 13464194236403. The next prime is 13464194236417. The reversal of 13464194236416 is 61463249146431.

13464194236416 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 4 + 194 + 2 + 36 + 416 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13464194236417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43293228901 + ... + 43293229211.

It is an arithmetic number, because the mean of its divisors is an integer number (27480241152).

Almost surely, 2^{13464194236416} is an apocalyptic number.

13464194236416 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 13464194236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26381031505920).

13464194236416 is an abundant number, since it is smaller than the sum of its proper divisors (39297868775424).

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

13464194236416 is a wasteful number, since it uses less digits than its factorization.

13464194236416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 406 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 13464194236416 in words is "thirteen trillion, four hundred sixty-four billion, one hundred ninety-four million, two hundred thirty-six thousand, four hundred sixteen".