1364513679376 has 45 divisors (see below), whose sum is σ = 2763906009501. Its totient is φ = 652542101376.

The previous prime is 1364513679247. The next prime is 1364513679391. The reversal of 1364513679376 is 6739763154631.

The square root of 1364513679376 is 1168124.

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

It can be written as a sum of positive squares in only one way, i.e., 278382864400 + 1086130814976 = 527620^2 + 1042176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107461060 + ... + 107473756.

Almost surely, 2^{1364513679376} is an apocalyptic number.

1364513679376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1364513679376 is the 1168124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364513679376

1364513679376 is an abundant number, since it is smaller than the sum of its proper divisors (1399392330125).

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

1364513679376 is an frugal number, since it uses more digits than its factorization.

1364513679376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25448 (or 12722 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 61.

The spelling of 1364513679376 in words is "one trillion, three hundred sixty-four billion, five hundred thirteen million, six hundred seventy-nine thousand, three hundred seventy-six".