1045223809776 has 120 divisors (see below), whose sum is σ = 2953317441360. Its totient is φ = 345058818048.

The previous prime is 1045223809639. The next prime is 1045223809783. The reversal of 1045223809776 is 6779083225401.

It is a happy number.

1045223809776 is a `hidden beast` number, since 1 + 0 + 452 + 2 + 38 + 0 + 97 + 76 = 666.

1045223809776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38708536 + ... + 38735528.

It is an arithmetic number, because the mean of its divisors is an integer number (24610978678).

It is a 1-persistent number, because it is pandigital, but 2⋅1045223809776 = 2090447619552 is not.

Almost surely, 2^{1045223809776} is an apocalyptic number.

1045223809776 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 1045223809776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476658720680).

1045223809776 is an abundant number, since it is smaller than the sum of its proper divisors (1908093631584).

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

1045223809776 is a wasteful number, since it uses less digits than its factorization.

1045223809776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29583 (or 29574 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1045223809776 in words is "one trillion, forty-five billion, two hundred twenty-three million, eight hundred nine thousand, seven hundred seventy-six".