1213775188416 has 448 divisors, whose sum is σ = 4216926044160. Its totient is φ = 335020354560.

The previous prime is 1213775188399. The next prime is 1213775188441. The reversal of 1213775188416 is 6148815773121.

It is a happy number.

1213775188416 is a `hidden beast` number, since 1 + 2 + 1 + 37 + 7 + 518 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 242606971 + ... + 242611973.

Almost surely, 2^{1213775188416} is an apocalyptic number.

1213775188416 is a gapful number since it is divisible by the number (16) 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 1213775188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108463022080).

1213775188416 is an abundant number, since it is smaller than the sum of its proper divisors (3003150855744).

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

1213775188416 is a wasteful number, since it uses less digits than its factorization.

1213775188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5693 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 1213775188416 in words is "one trillion, two hundred thirteen billion, seven hundred seventy-five million, one hundred eighty-eight thousand, four hundred sixteen".