13365634057216 has 297 divisors, whose sum is σ = 32840508793959. Its totient is φ = 5420331012096.

The previous prime is 13365634057177. The next prime is 13365634057283. The reversal of 13365634057216 is 61275043656331.

The square root of 13365634057216 is 3655904.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15559526995 + ... + 15559527853.

Almost surely, 2^{13365634057216} is an apocalyptic number.

13365634057216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13365634057216 is the 3655904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13365634057216

13365634057216 is an abundant number, since it is smaller than the sum of its proper divisors (19474874736743).

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

13365634057216 is an frugal number, since it uses more digits than its factorization.

13365634057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 13365634057216 in words is "thirteen trillion, three hundred sixty-five billion, six hundred thirty-four million, fifty-seven thousand, two hundred sixteen".