11003645952 has 156 divisors (see below), whose sum is σ = 34230877044. Its totient is φ = 3385589760.

The previous prime is 11003645923. The next prime is 11003645963. The reversal of 11003645952 is 25954630011.

11003645952 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 3 + 64 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4438757376 + 6564888576 = 66624^2 + 81024^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467752 + ... + 490712.

It is an arithmetic number, because the mean of its divisors is an integer number (219428699).

Almost surely, 2^11003645952 is an apocalyptic number.

11003645952 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 11003645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17115438522).

11003645952 is an abundant number, since it is smaller than the sum of its proper divisors (23227231092).

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

11003645952 is a wasteful number, since it uses less digits than its factorization.

11003645952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23004 (or 22979 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11003645952 in words is "eleven billion, three million, six hundred forty-five thousand, nine hundred fifty-two".