11661973152 has 48 divisors (see below), whose sum is σ = 30783745440. Its totient is φ = 3865601792.

The previous prime is 11661973139. The next prime is 11661973177. The reversal of 11661973152 is 25137916611.

11661973152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322143 + ... + 356510.

It is an arithmetic number, because the mean of its divisors is an integer number (641328030).

Almost surely, 2^11661973152 is an apocalyptic number.

11661973152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11661973152 is an abundant number, since it is smaller than the sum of its proper divisors (19121772288).

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

11661973152 is a wasteful number, since it uses less digits than its factorization.

11661973152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678845 (or 678837 counting only the distinct ones).

The product of its digits is 68040, while the sum is 42.

The spelling of 11661973152 in words is "eleven billion, six hundred sixty-one million, nine hundred seventy-three thousand, one hundred fifty-two".