1216857506304 has 320 divisors, whose sum is σ = 3748271345280. Its totient is φ = 346706411520.

The previous prime is 1216857506299. The next prime is 1216857506353. The reversal of 1216857506304 is 4036057586121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462154972 + ... + 462157604.

It is an arithmetic number, because the mean of its divisors is an integer number (11713347954).

Almost surely, 2^{1216857506304} 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 1216857506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874135672640).

1216857506304 is an abundant number, since it is smaller than the sum of its proper divisors (2531413838976).

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

1216857506304 is a wasteful number, since it uses less digits than its factorization.

1216857506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 1216857506304 in words is "one trillion, two hundred sixteen billion, eight hundred fifty-seven million, five hundred six thousand, three hundred four".