13478061877504 has 81 divisors (see below), whose sum is σ = 31296833952867. Its totient is φ = 5776136013312.

The previous prime is 13478061877493. The next prime is 13478061877543. The reversal of 13478061877504 is 40577816087431.

It is a happy number.

The square root of 13478061877504 is 3671248.

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 8 ways as a sum of consecutive naturals, for example, 411163387 + ... + 411196165.

Almost surely, 2^{13478061877504} is an apocalyptic number.

13478061877504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13478061877504 is the 3671248-th square number.

It is an amenable number.

13478061877504 is an abundant number, since it is smaller than the sum of its proper divisors (17818772075363).

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

13478061877504 is an frugal number, since it uses more digits than its factorization.

13478061877504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65588 (or 32788 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 61.

The spelling of 13478061877504 in words is "thirteen trillion, four hundred seventy-eight billion, sixty-one million, eight hundred seventy-seven thousand, five hundred four".