11451123643520 has 512 divisors, whose sum is σ = 31689042739200. Its totient is φ = 3913251471360.

The previous prime is 11451123643507. The next prime is 11451123643523. The reversal of 11451123643520 is 2534632115411.

It is a super-2 number, since 2×11451123643520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (11451123643523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11841906077 + ... + 11841907043.

It is an arithmetic number, because the mean of its divisors is an integer number (61892661600).

Almost surely, 2^{11451123643520} is an apocalyptic number.

11451123643520 is a gapful number since it is divisible by the number (10) 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 11451123643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844521369600).

11451123643520 is an abundant number, since it is smaller than the sum of its proper divisors (20237919095680).

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

11451123643520 is a wasteful number, since it uses less digits than its factorization.

11451123643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

Adding to 11451123643520 its reverse (2534632115411), we get a palindrome (13985755758931).

The spelling of 11451123643520 in words is "eleven trillion, four hundred fifty-one billion, one hundred twenty-three million, six hundred forty-three thousand, five hundred twenty".