1146309405696 has 1584 divisors, whose sum is σ = 4484954073600. Its totient is φ = 278580363264.

The previous prime is 1146309405641. The next prime is 1146309405701. The reversal of 1146309405696 is 6965049036411.

It is a happy number.

1146309405696 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 30 + 9 + 40 + 569 + 6 = 666.

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 143 ways as a sum of consecutive naturals, for example, 4796273545 + ... + 4796273783.

It is an arithmetic number, because the mean of its divisors is an integer number (2831410400).

Almost surely, 2^{1146309405696} is an apocalyptic number.

1146309405696 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 1146309405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242477036800).

1146309405696 is an abundant number, since it is smaller than the sum of its proper divisors (3338644667904).

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

1146309405696 is a wasteful number, since it uses less digits than its factorization.

1146309405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1146309405696 in words is "one trillion, one hundred forty-six billion, three hundred nine million, four hundred five thousand, six hundred ninety-six".