10845347904 has 210 divisors, whose sum is σ = 32757557294. Its totient is φ = 3547929600.

The previous prime is 10845347867. The next prime is 10845347957. The reversal of 10845347904 is 40974354801.

10845347904 is a `hidden beast` number, since 108 + 4 + 534 + 7 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10394210304 + 451137600 = 101952^2 + 21240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10845347904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 18045204 + ... + 18045804.

Almost surely, 2^10845347904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10845347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378778647).

10845347904 is an abundant number, since it is smaller than the sum of its proper divisors (21912209390).

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

10845347904 is an frugal number, since it uses more digits than its factorization.

10845347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10845347904 in words is "ten billion, eight hundred forty-five million, three hundred forty-seven thousand, nine hundred four".