13262736364416 has 768 divisors, whose sum is σ = 49271113382400. Its totient is φ = 3322827325440.

The previous prime is 13262736364379. The next prime is 13262736364519. The reversal of 13262736364416 is 61446363726231.

It is a happy number.

13262736364416 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 273 + 6 + 364 + 4 + 1 + 6 = 666.

It is a super-3 number, since 3×13262736364416³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3670835826 + ... + 3670839438.

It is an arithmetic number, because the mean of its divisors is an integer number (64155095550).

Almost surely, 2^{13262736364416} is an apocalyptic number.

13262736364416 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 13262736364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24635556691200).

13262736364416 is an abundant number, since it is smaller than the sum of its proper divisors (36008377017984).

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

13262736364416 is a wasteful number, since it uses less digits than its factorization.

13262736364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5092 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 13262736364416 in words is "thirteen trillion, two hundred sixty-two billion, seven hundred thirty-six million, three hundred sixty-four thousand, four hundred sixteen".