1218992646400 has 243 divisors, whose sum is σ = 3109282901361. Its totient is φ = 473146859520.

The previous prime is 1218992646383. The next prime is 1218992646457. The reversal of 1218992646400 is 46462998121.

The square root of 1218992646400 is 1104080.

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

It can be written as a sum of positive squares in 13 ways, for example, as 210526804224 + 1008465842176 = 458832^2 + 1004224^2 .

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 26 ways as a sum of consecutive naturals, for example, 3268076614 + ... + 3268076986.

Almost surely, 2^{1218992646400} is an apocalyptic number.

1218992646400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1218992646400 is the 1104080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1218992646400

1218992646400 is an abundant number, since it is smaller than the sum of its proper divisors (1890290254961).

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

1218992646400 is an frugal number, since it uses more digits than its factorization.

1218992646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 1218992646400 in words is "one trillion, two hundred eighteen billion, nine hundred ninety-two million, six hundred forty-six thousand, four hundred".