13414404354624 has 1575 divisors, whose sum is σ = 51303725911647. Its totient is φ = 3455588957184.

The previous prime is 13414404354619. The next prime is 13414404354641. The reversal of 13414404354624 is 42645340441431.

The square root of 13414404354624 is 3662568.

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

13414404354624 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 4 + 40 + 43 + 546 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6651075945024 + 6763328409600 = 2578968^2 + 2600640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13414404354624.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 311962891947 + ... + 311962891989.

Almost surely, 2^{13414404354624} is an apocalyptic number.

13414404354624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13414404354624 is the 3662568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414404354624

13414404354624 is an abundant number, since it is smaller than the sum of its proper divisors (37889321557023).

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

13414404354624 is an frugal number, since it uses more digits than its factorization.

13414404354624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 13414404354624 in words is "thirteen trillion, four hundred fourteen billion, four hundred four million, three hundred fifty-four thousand, six hundred twenty-four".