1150264830016 has 63 divisors (see below), whose sum is σ = 2313178729869. Its totient is φ = 567517636608.

The previous prime is 1150264829999. The next prime is 1150264830049. The reversal of 1150264830016 is 6100384620511.

It is a happy number.

The square root of 1150264830016 is 1072504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1107293198400 + 42971631616 = 1052280^2 + 207296^2 .

It is a super-3 number, since 3×1150264830016³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 677821680 + ... + 677823376.

Almost surely, 2^{1150264830016} is an apocalyptic number.

1150264830016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1150264830016 is the 1072504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150264830016

1150264830016 is an abundant number, since it is smaller than the sum of its proper divisors (1162913899853).

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

1150264830016 is an frugal number, since it uses more digits than its factorization.

1150264830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 1150264830016 in words is "one trillion, one hundred fifty billion, two hundred sixty-four million, eight hundred thirty thousand, sixteen".