13416236064 has 756 divisors, whose sum is σ = 51157967742. Its totient is φ = 3448811520.

The previous prime is 13416236051. The next prime is 13416236083. The reversal of 13416236064 is 46063261431.

13416236064 is a `hidden beast` number, since 1 + 3 + 41 + 6 + 2 + 3 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11687339664 + 1728896400 = 108108^2 + 41580^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 138311664 + ... + 138311760.

Almost surely, 2^13416236064 is an apocalyptic number.

13416236064 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 13416236064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25578983871).

13416236064 is an abundant number, since it is smaller than the sum of its proper divisors (37741731678).

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

13416236064 is an equidigital number, since it uses as much as digits as its factorization.

13416236064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 13416236064 its reverse (46063261431), we get a palindrome (59479497495).

The spelling of 13416236064 in words is "thirteen billion, four hundred sixteen million, two hundred thirty-six thousand, sixty-four".