1134451932768 has 576 divisors, whose sum is σ = 4088548638720. Its totient is φ = 292254842880.

The previous prime is 1134451932751. The next prime is 1134451932791. The reversal of 1134451932768 is 8672391544311.

1134451932768 is a `hidden beast` number, since 1 + 1 + 3 + 44 + 519 + 3 + 27 + 68 = 666.

It is a super-2 number, since 2×1134451932768² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340776928 + ... + 340780256.

It is an arithmetic number, because the mean of its divisors is an integer number (7098174720).

Almost surely, 2^{1134451932768} is an apocalyptic number.

1134451932768 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 1134451932768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044274319360).

1134451932768 is an abundant number, since it is smaller than the sum of its proper divisors (2954096705952).

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

1134451932768 is a wasteful number, since it uses less digits than its factorization.

1134451932768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3479 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 1134451932768 in words is "one trillion, one hundred thirty-four billion, four hundred fifty-one million, nine hundred thirty-two thousand, seven hundred sixty-eight".