11451716266000 has 40 divisors (see below), whose sum is σ = 27690249936024. Its totient is φ = 4580686505600.

The previous prime is 11451716265973. The next prime is 11451716266007. The reversal of 11451716266000 is 66261715411.

It can be written as a sum of positive squares in 4 ways, for example, as 503912704 + 11451212353296 = 22448^2 + 3383964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11451716266000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11451716266007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2862927067 + ... + 2862931066.

Almost surely, 2^{11451716266000} is an apocalyptic number.

11451716266000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11451716266000 is an abundant number, since it is smaller than the sum of its proper divisors (16238533670024).

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

11451716266000 is an equidigital number, since it uses as much as digits as its factorization.

11451716266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725858156 (or 5725858140 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 11451716266000 in words is "eleven trillion, four hundred fifty-one billion, seven hundred sixteen million, two hundred sixty-six thousand".