1134684377280 has 504 divisors, whose sum is σ = 4326255621792. Its totient is φ = 272397041664.

The previous prime is 1134684377273. The next prime is 1134684377287. The reversal of 1134684377280 is 827734864311.

1134684377280 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 68 + 437 + 72 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1134684377273) and next prime (1134684377287).

It is not an unprimeable number, because it can be changed into a prime (1134684377287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19113724 + ... + 19172996.

Almost surely, 2^{1134684377280} is an apocalyptic number.

1134684377280 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 1134684377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163127810896).

1134684377280 is an abundant number, since it is smaller than the sum of its proper divisors (3191571244512).

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

1134684377280 is a wasteful number, since it uses less digits than its factorization.

1134684377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59353 (or 59323 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1134684377280 in words is "one trillion, one hundred thirty-four billion, six hundred eighty-four million, three hundred seventy-seven thousand, two hundred eighty".