1009292416608 has 96 divisors (see below), whose sum is σ = 3046453514496. Its totient is φ = 286600094208.

The previous prime is 1009292416597. The next prime is 1009292416631. The reversal of 1009292416608 is 8066142929001.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 4497591 + ... + 4716662.

It is an arithmetic number, because the mean of its divisors is an integer number (31733890776).

Almost surely, 2^{1009292416608} is an apocalyptic number.

It is an amenable number.

1009292416608 is an abundant number, since it is smaller than the sum of its proper divisors (2037161097888).

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

1009292416608 is a wasteful number, since it uses less digits than its factorization.

1009292416608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214436 (or 9214428 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 1009292416608 in words is "one trillion, nine billion, two hundred ninety-two million, four hundred sixteen thousand, six hundred eight".