1045789065216 has 1440 divisors, whose sum is σ = 3925748736000. Its totient is φ = 267048714240.

The previous prime is 1045789065197. The next prime is 1045789065227. The reversal of 1045789065216 is 6125609875401.

It is a happy number.

1045789065216 is a `hidden beast` number, since 1 + 0 + 4 + 578 + 9 + 0 + 6 + 52 + 16 = 666.

It is a super-2 number, since 2×1045789065216² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33735131121 + ... + 33735131151.

It is an arithmetic number, because the mean of its divisors is an integer number (2726214400).

Almost surely, 2^{1045789065216} is an apocalyptic number.

1045789065216 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 1045789065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962874368000).

1045789065216 is an abundant number, since it is smaller than the sum of its proper divisors (2879959670784).

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

1045789065216 is an equidigital number, since it uses as much as digits as its factorization.

1045789065216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1045789065216 in words is "one trillion, forty-five billion, seven hundred eighty-nine million, sixty-five thousand, two hundred sixteen".