1009773139104 has 96 divisors (see below), whose sum is σ = 2952517236480. Its totient is φ = 335751552000.

The previous prime is 1009773139061. The next prime is 1009773139147. The reversal of 1009773139104 is 4019313779001.

1009773139104 is a `hidden beast` number, since 100 + 97 + 73 + 1 + 391 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1009773139061) and next prime (1009773139147).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1009773139104² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1009773139104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110792 + ... + 1803719.

It is an arithmetic number, because the mean of its divisors is an integer number (30755387880).

Almost surely, 2^{1009773139104} is an apocalyptic number.

It is an amenable number.

1009773139104 is an abundant number, since it is smaller than the sum of its proper divisors (1942744097376).

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

1009773139104 is a wasteful number, since it uses less digits than its factorization.

1009773139104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914931 (or 2914917 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 1009773139104 in words is "one trillion, nine billion, seven hundred seventy-three million, one hundred thirty-nine thousand, one hundred four".