13962478489600 has 117 divisors (see below), whose sum is σ = 34625685021447. Its totient is φ = 5584513105920.

The previous prime is 13962478489571. The next prime is 13962478489601. The reversal of 13962478489600 is 698487426931.

The square root of 13962478489600 is 3736640.

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

It can be written as a sum of positive squares in 4 ways, for example, as 870354653184 + 13092123836416 = 932928^2 + 3618304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13962478489601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1195718962 + ... + 1195730638.

Almost surely, 2^{13962478489600} is an apocalyptic number.

13962478489600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13962478489600 is the 3736640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13962478489600

13962478489600 is an abundant number, since it is smaller than the sum of its proper divisors (20663206531847).

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

13962478489600 is an frugal number, since it uses more digits than its factorization.

13962478489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23388 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 67.

The spelling of 13962478489600 in words is "thirteen trillion, nine hundred sixty-two billion, four hundred seventy-eight million, four hundred eighty-nine thousand, six hundred".