1146721707100 has 72 divisors (see below), whose sum is σ = 2512267954560. Its totient is φ = 454288643520.

The previous prime is 1146721707077. The next prime is 1146721707119. The reversal of 1146721707100 is 17071276411.

It is a self number, because there is not a number n which added to its sum of digits gives 1146721707100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52622407 + ... + 52644193.

It is an arithmetic number, because the mean of its divisors is an integer number (34892610480).

Almost surely, 2^{1146721707100} is an apocalyptic number.

1146721707100 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 1146721707100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256133977280).

1146721707100 is an abundant number, since it is smaller than the sum of its proper divisors (1365546247460).

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

1146721707100 is a wasteful number, since it uses less digits than its factorization.

1146721707100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26827 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 37.

The spelling of 1146721707100 in words is "one trillion, one hundred forty-six billion, seven hundred twenty-one million, seven hundred seven thousand, one hundred".