11032448960952 has 320 divisors, whose sum is σ = 32107887820800. Its totient is φ = 3536704892160.

The previous prime is 11032448960947. The next prime is 11032448961091. The reversal of 11032448960952 is 25906984423011.

It is a happy number.

11032448960952 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 24 + 4 + 8 + 9 + 609 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2376144343 + ... + 2376148985.

It is an arithmetic number, because the mean of its divisors is an integer number (100337149440).

Almost surely, 2^{11032448960952} is an apocalyptic number.

11032448960952 is a gapful number since it is divisible by the number (12) 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 11032448960952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053943910400).

11032448960952 is an abundant number, since it is smaller than the sum of its proper divisors (21075438859848).

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

11032448960952 is a wasteful number, since it uses less digits than its factorization.

11032448960952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 11032448960952 in words is "eleven trillion, thirty-two billion, four hundred forty-eight million, nine hundred sixty thousand, nine hundred fifty-two".