1150354023728 has 160 divisors (see below), whose sum is σ = 2874416025600. Its totient is φ = 433474449408.

The previous prime is 1150354023719. The next prime is 1150354023737. The reversal of 1150354023728 is 8273204530511.

It is an interprime number because it is at equal distance from previous prime (1150354023719) and next prime (1150354023737).

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 31 ways as a sum of consecutive naturals, for example, 7931768 + ... + 8075496.

It is an arithmetic number, because the mean of its divisors is an integer number (17965100160).

Almost surely, 2^{1150354023728} 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 1150354023728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437208012800).

1150354023728 is an abundant number, since it is smaller than the sum of its proper divisors (1724062001872).

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

1150354023728 is a wasteful number, since it uses less digits than its factorization.

1150354023728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144019 (or 144013 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 1150354023728 in words is "one trillion, one hundred fifty billion, three hundred fifty-four million, twenty-three thousand, seven hundred twenty-eight".