11523641451400 has 384 divisors, whose sum is σ = 30870974131200. Its totient is φ = 3967933132800.

The previous prime is 11523641451397. The next prime is 11523641451403. The reversal of 11523641451400 is 415414632511.

It is an interprime number because it is at equal distance from previous prime (11523641451397) and next prime (11523641451403).

It is a self number, because there is not a number n which added to its sum of digits gives 11523641451400.

It is not an unprimeable number, because it can be changed into a prime (11523641451403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1278553294 + ... + 1278562306.

It is an arithmetic number, because the mean of its divisors is an integer number (80393161800).

Almost surely, 2^{11523641451400} is an apocalyptic number.

11523641451400 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 11523641451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435487065600).

11523641451400 is an abundant number, since it is smaller than the sum of its proper divisors (19347332679800).

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

11523641451400 is a wasteful number, since it uses less digits than its factorization.

11523641451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9649 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 11523641451400 in words is "eleven trillion, five hundred twenty-three billion, six hundred forty-one million, four hundred fifty-one thousand, four hundred".