11023412710464 has 2520 divisors, whose sum is σ = 45000548845560. Its totient is φ = 2657884078080.

The previous prime is 11023412710463. The next prime is 11023412710469. The reversal of 11023412710464 is 46401721432011.

11023412710464 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 341 + 271 + 0 + 46 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2324405160000 + 8699007550464 = 1524600^2 + 2949408^2 .

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 (11023412710463) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 151005653532 + ... + 151005653604.

It is an arithmetic number, because the mean of its divisors is an integer number (17857360653).

Almost surely, 2^{11023412710464} is an apocalyptic number.

11023412710464 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 11023412710464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22500274422780).

11023412710464 is an abundant number, since it is smaller than the sum of its proper divisors (33977136135096).

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

11023412710464 is an equidigital number, since it uses as much as digits as its factorization.

11023412710464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11023412710464 in words is "eleven trillion, twenty-three billion, four hundred twelve million, seven hundred ten thousand, four hundred sixty-four".