1146762428966 has 128 divisors (see below), whose sum is σ = 2375103651840. Its totient is φ = 404869116960.

The previous prime is 1146762428843. The next prime is 1146762428969. The reversal of 1146762428966 is 6698242676411.

It is a junction number, because it is equal to n+sod(n) for n = 1146762428899 and 1146762428908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146762428969) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8072645 + ... + 8213471.

It is an arithmetic number, because the mean of its divisors is an integer number (18555497280).

Almost surely, 2^{1146762428966} is an apocalyptic number.

1146762428966 is an abundant number, since it is smaller than the sum of its proper divisors (1228341222874).

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

1146762428966 is a wasteful number, since it uses less digits than its factorization.

1146762428966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140911 (or 140889 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 62.

The spelling of 1146762428966 in words is "one trillion, one hundred forty-six billion, seven hundred sixty-two million, four hundred twenty-eight thousand, nine hundred sixty-six".