1130754594816 has 864 divisors, whose sum is σ = 4284098910000. Its totient is φ = 293617336320.

The previous prime is 1130754594799. The next prime is 1130754594841. The reversal of 1130754594816 is 6184954570311.

1130754594816 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 7 + 545 + 94 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327848260 + ... + 327851708.

Almost surely, 2^{1130754594816} is an apocalyptic number.

1130754594816 is a gapful number since it is divisible by the number (16) 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 1130754594816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142049455000).

1130754594816 is an abundant number, since it is smaller than the sum of its proper divisors (3153344315184).

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

1130754594816 is a wasteful number, since it uses less digits than its factorization.

1130754594816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1130754594816 in words is "one trillion, one hundred thirty billion, seven hundred fifty-four million, five hundred ninety-four thousand, eight hundred sixteen".