1134695890944 has 1080 divisors, whose sum is σ = 4257719863488. Its totient is φ = 282832404480.

The previous prime is 1134695890901. The next prime is 1134695890969. The reversal of 1134695890944 is 4490985964311.

1134695890944 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 6 + 9 + 589 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×1134695890944² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 15543779292 + ... + 15543779364.

Almost surely, 2^{1134695890944} is an apocalyptic number.

1134695890944 is a gapful number since it is divisible by the number (14) 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 1134695890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128859931744).

1134695890944 is an abundant number, since it is smaller than the sum of its proper divisors (3123023972544).

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

1134695890944 is an equidigital number, since it uses as much as digits as its factorization.

1134695890944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1134695890944 in words is "one trillion, one hundred thirty-four billion, six hundred ninety-five million, eight hundred ninety thousand, nine hundred forty-four".