1132291776 has 448 divisors, whose sum is σ = 4096512000. Its totient is φ = 267079680.

The previous prime is 1132291763. The next prime is 1132291801. The reversal of 1132291776 is 6771922311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1132291776³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8145915 + ... + 8146053.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 2^1132291776 is an apocalyptic number.

1132291776 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 1132291776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

1132291776 is an abundant number, since it is smaller than the sum of its proper divisors (2964220224).

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

1132291776 is a wasteful number, since it uses less digits than its factorization.

1132291776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its digits is 31752, while the sum is 39.

The square root of 1132291776 is about 33649.5434738720. The cubic root of 1132291776 is about 1042.2841119702.

The spelling of 1132291776 in words is "one billion, one hundred thirty-two million, two hundred ninety-one thousand, seven hundred seventy-six".