1146311121351 has 24 divisors (see below), whose sum is σ = 1682798140800. Its totient is φ = 693574058320.

The previous prime is 1146311121349. The next prime is 1146311121401. The reversal of 1146311121351 is 1531211136411.

It is not a de Polignac number, because 1146311121351 - 2¹ = 1146311121349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146311121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2418525 + ... + 2853398.

It is an arithmetic number, because the mean of its divisors is an integer number (70116589200).

Almost surely, 2^{1146311121351} is an apocalyptic number.

1146311121351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1146311121351 is a deficient number, since it is larger than the sum of its proper divisors (536487019449).

1146311121351 is a wasteful number, since it uses less digits than its factorization.

1146311121351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272547 (or 5272536 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

Adding to 1146311121351 its reverse (1531211136411), we get a palindrome (2677522257762).

The spelling of 1146311121351 in words is "one trillion, one hundred forty-six billion, three hundred eleven million, one hundred twenty-one thousand, three hundred fifty-one".