11523641451504 has 480 divisors, whose sum is σ = 38772142424064. Its totient is φ = 2871576023040.

The previous prime is 11523641451479. The next prime is 11523641451529. The reversal of 11523641451504 is 40515414632511.

It is a happy number.

11523641451504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11523641451479) and next prime (11523641451529).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 603923244 + ... + 603942324.

Almost surely, 2^{11523641451504} is an apocalyptic number.

11523641451504 is a gapful number since it is divisible by the number (14) 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 11523641451504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386071212032).

11523641451504 is an abundant number, since it is smaller than the sum of its proper divisors (27248500972560).

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

11523641451504 is a wasteful number, since it uses less digits than its factorization.

11523641451504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19533 (or 19508 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 11523641451504 in words is "eleven trillion, five hundred twenty-three billion, six hundred forty-one million, four hundred fifty-one thousand, five hundred four".