1314034123446 has 96 divisors (see below), whose sum is σ = 3217404355200. Its totient is φ = 394247844000.

The previous prime is 1314034123411. The next prime is 1314034123483. The reversal of 1314034123446 is 6443214304131.

1314034123446 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 341 + 234 + 46 = 666.

It is a super-3 number, since 3×1314034123446³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1314034123446.

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, 5950965 + ... + 6167823.

It is an arithmetic number, because the mean of its divisors is an integer number (33514628700).

Almost surely, 2^{1314034123446} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314034123446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608702177600).

1314034123446 is an abundant number, since it is smaller than the sum of its proper divisors (1903370231754).

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

1314034123446 is a wasteful number, since it uses less digits than its factorization.

1314034123446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217083 (or 216976 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 1314034123446 its reverse (6443214304131), we get a palindrome (7757248427577).

The spelling of 1314034123446 in words is "one trillion, three hundred fourteen billion, thirty-four million, one hundred twenty-three thousand, four hundred forty-six".