11451410464 has 48 divisors (see below), whose sum is σ = 24367088088. Its totient is φ = 5266132992.

The previous prime is 11451410459. The next prime is 11451410479. The reversal of 11451410464 is 46401415411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2367795600 + 9083614864 = 48660^2 + 95308^2 .

It is a super-2 number, since 2×11451410464² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65544 + ... + 164920.

Almost surely, 2^11451410464 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 11451410464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183544044).

11451410464 is an abundant number, since it is smaller than the sum of its proper divisors (12915677624).

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

11451410464 is a wasteful number, since it uses less digits than its factorization.

11451410464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99677 (or 99669 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 11451410464 its reverse (46401415411), we get a palindrome (57852825875).

The spelling of 11451410464 in words is "eleven billion, four hundred fifty-one million, four hundred ten thousand, four hundred sixty-four".