11452149600 has 144 divisors (see below), whose sum is σ = 37331016912. Its totient is φ = 3049461760.

The previous prime is 11452149557. The next prime is 11452149647. The reversal of 11452149600 is 694125411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1852114 + ... + 1858286.

It is an arithmetic number, because the mean of its divisors is an integer number (259243173).

Almost surely, 2^11452149600 is an apocalyptic number.

11452149600 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 11452149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665508456).

11452149600 is an abundant number, since it is smaller than the sum of its proper divisors (25878867312).

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

11452149600 is a wasteful number, since it uses less digits than its factorization.

11452149600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 11452149600 in words is "eleven billion, four hundred fifty-two million, one hundred forty-nine thousand, six hundred".