13277018496 has 512 divisors, whose sum is σ = 45368294400. Its totient is φ = 3352559616.

The previous prime is 13277018471. The next prime is 13277018533. The reversal of 13277018496 is 69481077231.

It is a happy number.

13277018496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13277018496² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56982796 + ... + 56983028.

It is an arithmetic number, because the mean of its divisors is an integer number (88609950).

Almost surely, 2^13277018496 is an apocalyptic number.

13277018496 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 13277018496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22684147200).

13277018496 is an abundant number, since it is smaller than the sum of its proper divisors (32091275904).

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

13277018496 is a wasteful number, since it uses less digits than its factorization.

13277018496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 13277018496 in words is "thirteen billion, two hundred seventy-seven million, eighteen thousand, four hundred ninety-six".