11452037825424 has 80 divisors (see below), whose sum is σ = 33971019207680. Its totient is φ = 3256503626880.

The previous prime is 11452037825413. The next prime is 11452037825441. The reversal of 11452037825424 is 42452873025411.

It is a super-3 number, since 3×11452037825424³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80695564 + ... + 80837355.

It is an arithmetic number, because the mean of its divisors is an integer number (424637740096).

Almost surely, 2^{11452037825424} is an apocalyptic number.

11452037825424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11452037825424 is an abundant number, since it is smaller than the sum of its proper divisors (22518981382256).

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

11452037825424 is a wasteful number, since it uses less digits than its factorization.

11452037825424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161533148 (or 161533142 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 11452037825424 in words is "eleven trillion, four hundred fifty-two billion, thirty-seven million, eight hundred twenty-five thousand, four hundred twenty-four".