1145799805248 has 1344 divisors, whose sum is σ = 4386319741440. Its totient is φ = 288947699712.

The previous prime is 1145799805223. The next prime is 1145799805253. The reversal of 1145799805248 is 8425089975411.

1145799805248 is a `hidden beast` number, since 1 + 1 + 4 + 579 + 9 + 8 + 0 + 52 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 1985787936 + ... + 1985788512.

It is an arithmetic number, because the mean of its divisors is an integer number (3263630760).

Almost surely, 2^{1145799805248} is an apocalyptic number.

1145799805248 is a gapful number since it is divisible by the number (18) 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 1145799805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193159870720).

1145799805248 is an abundant number, since it is smaller than the sum of its proper divisors (3240519936192).

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

1145799805248 is a wasteful number, since it uses less digits than its factorization.

1145799805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 1145799805248 in words is "one trillion, one hundred forty-five billion, seven hundred ninety-nine million, eight hundred five thousand, two hundred forty-eight".