1023444746316 has 288 divisors, whose sum is σ = 2854819968000. Its totient is φ = 308021325696.

The previous prime is 1023444746309. The next prime is 1023444746417. The reversal of 1023444746316 is 6136474443201.

1023444746316 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 4 + 4 + 7 + 4 + 631 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241205691 + ... + 241209933.

Almost surely, 2^{1023444746316} 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 1023444746316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427409984000).

1023444746316 is an abundant number, since it is smaller than the sum of its proper divisors (1831375221684).

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

1023444746316 is a wasteful number, since it uses less digits than its factorization.

1023444746316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 1023444746316 in words is "one trillion, twenty-three billion, four hundred forty-four million, seven hundred forty-six thousand, three hundred sixteen".