1213609137984 has 336 divisors, whose sum is σ = 3633352160256. Its totient is φ = 401642841600.

The previous prime is 1213609137977. The next prime is 1213609138003. The reversal of 1213609137984 is 4897319063121.

1213609137984 is a `hidden beast` number, since 1 + 2 + 13 + 609 + 13 + 7 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1213609137984.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 2218663599 + ... + 2218664145.

It is an arithmetic number, because the mean of its divisors is an integer number (10813548096).

Almost surely, 2^{1213609137984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213609137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816676080128).

1213609137984 is an abundant number, since it is smaller than the sum of its proper divisors (2419743022272).

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

1213609137984 is an equidigital number, since it uses as much as digits as its factorization.

1213609137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1213609137984 in words is "one trillion, two hundred thirteen billion, six hundred nine million, one hundred thirty-seven thousand, nine hundred eighty-four".