13634666496 has 320 divisors, whose sum is σ = 44533391760. Its totient is φ = 4122869760.

The previous prime is 13634666471. The next prime is 13634666497. The reversal of 13634666496 is 69466643631.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (13634666497) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29196055 + ... + 29196521.

Almost surely, 2^13634666496 is an apocalyptic number.

13634666496 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 13634666496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266695880).

13634666496 is an abundant number, since it is smaller than the sum of its proper divisors (30898725264).

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

13634666496 is an frugal number, since it uses more digits than its factorization.

13634666496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 483 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 13634666496 in words is "thirteen billion, six hundred thirty-four million, six hundred sixty-six thousand, four hundred ninety-six".