1009948704336 has 640 divisors, whose sum is σ = 3650046382080. Its totient is φ = 262903449600.

The previous prime is 1009948704329. The next prime is 1009948704367. The reversal of 1009948704336 is 6334078499001.

It is a happy number.

1009948704336 is a `hidden beast` number, since 1 + 0 + 0 + 99 + 487 + 0 + 43 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 52561771 + ... + 52580981.

It is an arithmetic number, because the mean of its divisors is an integer number (5703197472).

Almost surely, 2^{1009948704336} is an apocalyptic number.

1009948704336 is a gapful number since it is divisible by the number (16) 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 1009948704336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825023191040).

1009948704336 is an abundant number, since it is smaller than the sum of its proper divisors (2640097677744).

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

1009948704336 is a wasteful number, since it uses less digits than its factorization.

1009948704336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19312 (or 19300 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1009948704336 in words is "one trillion, nine billion, nine hundred forty-eight million, seven hundred four thousand, three hundred thirty-six".