13009451154336 has 1152 divisors, whose sum is σ = 50237520592896. Its totient is φ = 3095509893120.

The previous prime is 13009451154307. The next prime is 13009451154439. The reversal of 13009451154336 is 63345115490031.

13009451154336 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 94 + 5 + 11 + 543 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13009451154291 and 13009451154300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1477838511 + ... + 1477847313.

It is an arithmetic number, because the mean of its divisors is an integer number (43608958848).

Almost surely, 2^{13009451154336} is an apocalyptic number.

13009451154336 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 13009451154336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118760296448).

13009451154336 is an abundant number, since it is smaller than the sum of its proper divisors (37228069438560).

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

13009451154336 is a wasteful number, since it uses less digits than its factorization.

13009451154336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 13009451154336 in words is "thirteen trillion, nine billion, four hundred fifty-one million, one hundred fifty-four thousand, three hundred thirty-six".