13734947326464 has 400 divisors, whose sum is σ = 50455646131968. Its totient is φ = 3622402695168.

The previous prime is 13734947326421. The next prime is 13734947326489. The reversal of 13734947326464 is 46462374943731.

13734947326464 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 49 + 473 + 2 + 64 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1954249 + ... + 5593655.

Almost surely, 2^{13734947326464} is an apocalyptic number.

13734947326464 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 13734947326464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25227823065984).

13734947326464 is an abundant number, since it is smaller than the sum of its proper divisors (36720698805504).

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

13734947326464 is an equidigital number, since it uses as much as digits as its factorization.

13734947326464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639457 (or 3639432 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 63.

The spelling of 13734947326464 in words is "thirteen trillion, seven hundred thirty-four billion, nine hundred forty-seven million, three hundred twenty-six thousand, four hundred sixty-four".