1114735104 has 180 divisors, whose sum is σ = 3743216334. Its totient is φ = 318431232.

The previous prime is 1114735099. The next prime is 1114735121. The reversal of 1114735104 is 4015374111.

1114735104 is a `hidden beast` number, since 1 + 1 + 147 + 3 + 510 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 976437504 + 138297600 = 31248^2 + 11760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223324 + ... + 228260.

Almost surely, 2^1114735104 is an apocalyptic number.

1114735104 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 1114735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871608167).

1114735104 is an abundant number, since it is smaller than the sum of its proper divisors (2628481230).

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

1114735104 is an equidigital number, since it uses as much as digits as its factorization.

1114735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1114735104 is about 33387.6489738346. The cubic root of 1114735104 is about 1036.8690054666.

The spelling of 1114735104 in words is "one billion, one hundred fourteen million, seven hundred thirty-five thousand, one hundred four".