1011114000 has 480 divisors, whose sum is σ = 3960684000. Its totient is φ = 238694400.

The previous prime is 1011113927. The next prime is 1011114007. The reversal of 1011114000 is 4111101.

It can be written as a sum of positive squares in 16 ways, for example, as 981694224 + 29419776 = 31332^2 + 5424^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011114007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6785926 + ... + 6786074.

It is an arithmetic number, because the mean of its divisors is an integer number (8251425).

Almost surely, 2^1011114000 is an apocalyptic number.

1011114000 is a gapful number since it is divisible by the number (10) 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 1011114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980342000).

1011114000 is an abundant number, since it is smaller than the sum of its proper divisors (2949570000).

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

1011114000 is a wasteful number, since it uses less digits than its factorization.

1011114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011114000 is about 31798.0188062087. The cubic root of 1011114000 is about 1003.6910262303.

Adding to 1011114000 its reverse (4111101), we get a palindrome (1015225101).

It can be divided in two parts, 101111 and 4000, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 1011114000 in words is "one billion, eleven million, one hundred fourteen thousand".