1145836265600 has 384 divisors, whose sum is σ = 3115447265280. Its totient is φ = 413857382400.

The previous prime is 1145836265599. The next prime is 1145836265617. The reversal of 1145836265600 is 65626385411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385672115 + ... + 385675085.

It is an arithmetic number, because the mean of its divisors is an integer number (8113143920).

Almost surely, 2^{1145836265600} is an apocalyptic number.

1145836265600 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 1145836265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557723632640).

1145836265600 is an abundant number, since it is smaller than the sum of its proper divisors (1969610999680).

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

1145836265600 is a wasteful number, since it uses less digits than its factorization.

1145836265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 1145836265600 in words is "one trillion, one hundred forty-five billion, eight hundred thirty-six million, two hundred sixty-five thousand, six hundred".