1146660274100 has 144 divisors (see below), whose sum is σ = 2849517619200. Its totient is φ = 396676848000.

The previous prime is 1146660274091. The next prime is 1146660274127. The reversal of 1146660274100 is 14720666411.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1726931 + ... + 2296869.

It is an arithmetic number, because the mean of its divisors is an integer number (19788316800).

Almost surely, 2^{1146660274100} is an apocalyptic number.

1146660274100 is a gapful number since it is divisible by the number (10) 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 1146660274100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424758809600).

1146660274100 is an abundant number, since it is smaller than the sum of its proper divisors (1702857345100).

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

1146660274100 is a wasteful number, since it uses less digits than its factorization.

1146660274100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570054 (or 570047 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 1146660274100 in words is "one trillion, one hundred forty-six billion, six hundred sixty million, two hundred seventy-four thousand, one hundred".