11412746520 has 256 divisors, whose sum is σ = 40030848000. Its totient is φ = 2548955136.

The previous prime is 11412746497. The next prime is 11412746551. The reversal of 11412746520 is 2564721411.

It is a super-2 number, since 2×11412746520² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17317951 + ... + 17318609.

It is an arithmetic number, because the mean of its divisors is an integer number (156370500).

Almost surely, 2^11412746520 is an apocalyptic number.

11412746520 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 11412746520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20015424000).

11412746520 is an abundant number, since it is smaller than the sum of its proper divisors (28618101480).

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

11412746520 is a wasteful number, since it uses less digits than its factorization.

11412746520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 11412746520 in words is "eleven billion, four hundred twelve million, seven hundred forty-six thousand, five hundred twenty".