13436704512 has 864 divisors, whose sum is σ = 52344714240. Its totient is φ = 3211591680.

The previous prime is 13436704499. The next prime is 13436704513. The reversal of 13436704512 is 21540763431.

13436704512 is a `hidden beast` number, since 134 + 3 + 6 + 7 + 0 + 4 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13436704513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150974164 + ... + 150974252.

It is an arithmetic number, because the mean of its divisors is an integer number (60584160).

Almost surely, 2^13436704512 is an apocalyptic number.

13436704512 is a gapful number since it is divisible by the number (12) 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 13436704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26172357120).

13436704512 is an abundant number, since it is smaller than the sum of its proper divisors (38908009728).

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

13436704512 is a wasteful number, since it uses less digits than its factorization.

13436704512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13436704512 in words is "thirteen billion, four hundred thirty-six million, seven hundred four thousand, five hundred twelve".