1109763984 has 160 divisors (see below), whose sum is σ = 3443779584. Its totient is φ = 301086720.

The previous prime is 1109763959. The next prime is 1109763997. The reversal of 1109763984 is 4893679011.

It is a happy number.

It is a super-2 number, since 2×1109763984² = 2463152200367104512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259224 + ... + 1260104.

Almost surely, 2^1109763984 is an apocalyptic number.

1109763984 is a gapful number since it is divisible by the number (14) 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 1109763984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721889792).

1109763984 is an abundant number, since it is smaller than the sum of its proper divisors (2334015600).

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

1109763984 is a wasteful number, since it uses less digits than its factorization.

1109763984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1109763984 is about 33313.1202981648. The cubic root of 1109763984 is about 1035.3254156567.

It can be divided in two parts, 110976 and 3984, that added together give a triangular number (114960 = T₄₇₉).

The spelling of 1109763984 in words is "one billion, one hundred nine million, seven hundred sixty-three thousand, nine hundred eighty-four".