1146205752450 has 384 divisors, whose sum is σ = 3377033856000. Its totient is φ = 254250316800.

The previous prime is 1146205752407. The next prime is 1146205752499. The reversal of 1146205752450 is 542575026411.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161229496 + ... + 161236604.

It is an arithmetic number, because the mean of its divisors is an integer number (8794359000).

Almost surely, 2^{1146205752450} is an apocalyptic number.

1146205752450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146205752450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688516928000).

1146205752450 is an abundant number, since it is smaller than the sum of its proper divisors (2230828103550).

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

1146205752450 is a wasteful number, since it uses less digits than its factorization.

1146205752450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 1146205752450 in words is "one trillion, one hundred forty-six billion, two hundred five million, seven hundred fifty-two thousand, four hundred fifty".