1009577663334 has 12 divisors (see below), whose sum is σ = 2187418270596. Its totient is φ = 336525887772.

The previous prime is 1009577663309. The next prime is 1009577663363. The reversal of 1009577663334 is 4333667759001.

It is a happy number.

1009577663334 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 577 + 6 + 6 + 33 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28043823964 + ... + 28043823999.

It is an arithmetic number, because the mean of its divisors is an integer number (182284855883).

Almost surely, 2^{1009577663334} is an apocalyptic number.

1009577663334 is an abundant number, since it is smaller than the sum of its proper divisors (1177840607262).

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

1009577663334 is a wasteful number, since it uses less digits than its factorization.

1009577663334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56087647971 (or 56087647968 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 1009577663334 in words is "one trillion, nine billion, five hundred seventy-seven million, six hundred sixty-three thousand, three hundred thirty-four".