13709513348496 has 375 divisors, whose sum is σ = 46311836659451. Its totient is φ = 3915137685312.

The previous prime is 13709513348369. The next prime is 13709513348507. The reversal of 13709513348496 is 69484331590731.

It is a happy number.

The square root of 13709513348496 is 3702636.

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

13709513348496 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 9 + 5 + 133 + 4 + 8 + 496 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 6531448855 + ... + 6531450953.

Almost surely, 2^{13709513348496} is an apocalyptic number.

13709513348496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13709513348496 is the 3702636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13709513348496

13709513348496 is an abundant number, since it is smaller than the sum of its proper divisors (32602323310955).

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

13709513348496 is an frugal number, since it uses more digits than its factorization.

13709513348496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 13709513348496 in words is "thirteen trillion, seven hundred nine billion, five hundred thirteen million, three hundred forty-eight thousand, four hundred ninety-six".