1213849308672 has 1440 divisors, whose sum is σ = 4889551620096. Its totient is φ = 281213337600.

The previous prime is 1213849308671. The next prime is 1213849308689. The reversal of 1213849308672 is 2768039483121.

It is a happy number.

1213849308672 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 8 + 493 + 0 + 86 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213849308671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1858880698 + ... + 1858881350.

Almost surely, 2^{1213849308672} is an apocalyptic number.

1213849308672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213849308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444775810048).

1213849308672 is an abundant number, since it is smaller than the sum of its proper divisors (3675702311424).

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

1213849308672 is a wasteful number, since it uses less digits than its factorization.

1213849308672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1213849308672 in words is "one trillion, two hundred thirteen billion, eight hundred forty-nine million, three hundred eight thousand, six hundred seventy-two".