1146115315800 has 1440 divisors, whose sum is σ = 5068630274400. Its totient is φ = 233727897600.

The previous prime is 1146115315771. The next prime is 1146115315811. The reversal of 1146115315800 is 85135116411.

1146115315800 is a `hidden beast` number, since 1 + 1 + 4 + 61 + 15 + 3 + 1 + 580 + 0 = 666.

It is a super-2 number, since 2×1146115315800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1416705796 + ... + 1416706604.

It is an arithmetic number, because the mean of its divisors is an integer number (3519882135).

Almost surely, 2^{1146115315800} is an apocalyptic number.

1146115315800 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 1146115315800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534315137200).

1146115315800 is an abundant number, since it is smaller than the sum of its proper divisors (3922514958600).

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

1146115315800 is a wasteful number, since it uses less digits than its factorization.

1146115315800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 1146115315800 in words is "one trillion, one hundred forty-six billion, one hundred fifteen million, three hundred fifteen thousand, eight hundred".