11046811464 has 192 divisors, whose sum is σ = 33256969200. Its totient is φ = 3292959744.

The previous prime is 11046811459. The next prime is 11046811469. The reversal of 11046811464 is 46411864011.

It is a happy number.

11046811464 is a `hidden beast` number, since 110 + 4 + 6 + 81 + 1 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (11046811459) and next prime (11046811469).

It can be written as a sum of positive squares in 8 ways, for example, as 4814972100 + 6231839364 = 69390^2 + 78942^2 .

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 (11046811469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47411092 + ... + 47411324.

Almost surely, 2^11046811464 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 11046811464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628484600).

11046811464 is an abundant number, since it is smaller than the sum of its proper divisors (22210157736).

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

11046811464 is a wasteful number, since it uses less digits than its factorization.

11046811464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11046811464 in words is "eleven billion, forty-six million, eight hundred eleven thousand, four hundred sixty-four".