11440006500768 has 96 divisors (see below), whose sum is σ = 30268753445952. Its totient is φ = 3783135283200.

The previous prime is 11440006500721. The next prime is 11440006500781. The reversal of 11440006500768 is 86700560004411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11440006500768² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5437938 + ... + 7242318.

It is an arithmetic number, because the mean of its divisors is an integer number (315299515062).

Almost surely, 2^{11440006500768} 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 11440006500768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134376722976).

11440006500768 is an abundant number, since it is smaller than the sum of its proper divisors (18828746945184).

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

11440006500768 is a wasteful number, since it uses less digits than its factorization.

11440006500768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804918 (or 1804910 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 11440006500768 in words is "eleven trillion, four hundred forty billion, six million, five hundred thousand, seven hundred sixty-eight".