1146103249920 has 352 divisors, whose sum is σ = 3862639872000. Its totient is φ = 289244381184.

The previous prime is 1146103249919. The next prime is 1146103249937. The reversal of 1146103249920 is 299423016411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477740881 + ... + 477743279.

Almost surely, 2^{1146103249920} is an apocalyptic number.

1146103249920 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 1146103249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931319936000).

1146103249920 is an abundant number, since it is smaller than the sum of its proper divisors (2716536622080).

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

1146103249920 is a wasteful number, since it uses less digits than its factorization.

1146103249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 1146103249920 in words is "one trillion, one hundred forty-six billion, one hundred three million, two hundred forty-nine thousand, nine hundred twenty".