1146146345300 has 144 divisors (see below), whose sum is σ = 2729805406272. Its totient is φ = 414240153600.

The previous prime is 1146146345231. The next prime is 1146146345303. The reversal of 1146146345300 is 35436416411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146146345303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342438227 + ... + 342441573.

It is an arithmetic number, because the mean of its divisors is an integer number (18956981988).

Almost surely, 2^{1146146345300} is an apocalyptic number.

1146146345300 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 1146146345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364902703136).

1146146345300 is an abundant number, since it is smaller than the sum of its proper divisors (1583659060972).

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

1146146345300 is a wasteful number, since it uses less digits than its factorization.

1146146345300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 1146146345300 in words is "one trillion, one hundred forty-six billion, one hundred forty-six million, three hundred forty-five thousand, three hundred".