1090303518976 has 81 divisors (see below), whose sum is σ = 2531941748931. Its totient is φ = 467222816256.

The previous prime is 1090303518973. The next prime is 1090303518991. The reversal of 1090303518976 is 6798153030901.

It is a happy number.

The square root of 1090303518976 is 1044176.

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

It is a super-3 number, since 3×1090303518976³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1090303518973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116943051 + ... + 116952373.

Almost surely, 2^{1090303518976} is an apocalyptic number.

1090303518976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1090303518976 is the 1044176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090303518976

1090303518976 is an abundant number, since it is smaller than the sum of its proper divisors (1441638229955).

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

1090303518976 is an frugal number, since it uses more digits than its factorization.

1090303518976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18676 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 1090303518976 in words is "one trillion, ninety billion, three hundred three million, five hundred eighteen thousand, nine hundred seventy-six".