11442553632 has 72 divisors (see below), whose sum is σ = 32694152400. Its totient is φ = 3796087680.

The previous prime is 11442553523. The next prime is 11442553637. The reversal of 11442553632 is 23635524411.

11442553632 is a `hidden beast` number, since 1 + 1 + 4 + 42 + 553 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (11442553637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33382 + ... + 154917.

It is an arithmetic number, because the mean of its divisors is an integer number (454085450).

Almost surely, 2^11442553632 is an apocalyptic number.

11442553632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11442553632 is an abundant number, since it is smaller than the sum of its proper divisors (21251598768).

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

11442553632 is a wasteful number, since it uses less digits than its factorization.

11442553632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188526 (or 188515 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 11442553632 in words is "eleven billion, four hundred forty-two million, five hundred fifty-three thousand, six hundred thirty-two".