1146937857800 has 192 divisors, whose sum is σ = 3093910369920. Its totient is φ = 387300188160.

The previous prime is 1146937857701. The next prime is 1146937857817. The reversal of 1146937857800 is 87587396411.

It is a self number, because there is not a number n which added to its sum of digits gives 1146937857800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25893272 + ... + 25937528.

It is an arithmetic number, because the mean of its divisors is an integer number (16114116510).

Almost surely, 2^{1146937857800} is an apocalyptic number.

1146937857800 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 1146937857800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546955184960).

1146937857800 is an abundant number, since it is smaller than the sum of its proper divisors (1946972512120).

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

1146937857800 is a wasteful number, since it uses less digits than its factorization.

1146937857800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44560 (or 44551 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 59.

The spelling of 1146937857800 in words is "one trillion, one hundred forty-six billion, nine hundred thirty-seven million, eight hundred fifty-seven thousand, eight hundred".