1005077550114 has 144 divisors (see below), whose sum is σ = 2531930558976. Its totient is φ = 287335002240.

The previous prime is 1005077550053. The next prime is 1005077550121. The reversal of 1005077550114 is 4110557705001.

It is a happy number.

It is a Curzon 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, 3519439 + ... + 3794285.

It is an arithmetic number, because the mean of its divisors is an integer number (17582851104).

Almost surely, 2^{1005077550114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005077550114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265965279488).

1005077550114 is an abundant number, since it is smaller than the sum of its proper divisors (1526853008862).

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

1005077550114 is a wasteful number, since it uses less digits than its factorization.

1005077550114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274973 (or 274959 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 36.

The spelling of 1005077550114 in words is "one trillion, five billion, seventy-seven million, five hundred fifty thousand, one hundred fourteen".