1011744864 has 240 divisors, whose sum is σ = 3274795440. Its totient is φ = 303713280.

The previous prime is 1011744859. The next prime is 1011744869. The reversal of 1011744864 is 4684471101.

1011744864 is a `hidden beast` number, since 1 + 0 + 1 + 174 + 486 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1011744859) and next prime (1011744869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011744869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24676684 + ... + 24676724.

It is an arithmetic number, because the mean of its divisors is an integer number (13644981).

Almost surely, 2^1011744864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637397720).

1011744864 is an abundant number, since it is smaller than the sum of its proper divisors (2263050576).

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

1011744864 is an frugal number, since it uses more digits than its factorization.

1011744864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1011744864 is about 31807.9371226743. The cubic root of 1011744864 is about 1003.8997270269.

The spelling of 1011744864 in words is "one billion, eleven million, seven hundred forty-four thousand, eight hundred sixty-four".