1114535744640 has 192 divisors, whose sum is σ = 3849957329400. Its totient is φ = 297107128320.

The previous prime is 1114535744579. The next prime is 1114535744657. The reversal of 1114535744640 is 464475354111.

1114535744640 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 535 + 74 + 4 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1069635829824 + 44899914816 = 1034232^2 + 211896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 17484346 + ... + 17547974.

Almost surely, 2^{1114535744640} is an apocalyptic number.

1114535744640 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 1114535744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924978664700).

1114535744640 is an abundant number, since it is smaller than the sum of its proper divisors (2735421584760).

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

1114535744640 is a wasteful number, since it uses less digits than its factorization.

1114535744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66695 (or 66680 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1114535744640 in words is "one trillion, one hundred fourteen billion, five hundred thirty-five million, seven hundred forty-four thousand, six hundred forty".