1361216890944 has 189 divisors, whose sum is σ = 3938381299879. Its totient is φ = 449510799360.

The previous prime is 1361216890931. The next prime is 1361216890961. The reversal of 1361216890944 is 4490986121631.

The square root of 1361216890944 is 1166712.

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

1361216890944 is a `hidden beast` number, since 1 + 3 + 612 + 16 + 8 + 9 + 0 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 511339406400 + 849877484544 = 715080^2 + 921888^2 .

It is a super-2 number, since 2×1361216890944² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4844188084 + ... + 4844188364.

Almost surely, 2^{1361216890944} is an apocalyptic number.

1361216890944 is the 1166712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361216890944

1361216890944 is an abundant number, since it is smaller than the sum of its proper divisors (2577164408935).

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

1361216890944 is an frugal number, since it uses more digits than its factorization.

1361216890944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1361216890944 in words is "one trillion, three hundred sixty-one billion, two hundred sixteen million, eight hundred ninety thousand, nine hundred forty-four".