10948164192 has 144 divisors (see below), whose sum is σ = 37454376960. Its totient is φ = 2963402496.

The previous prime is 10948164181. The next prime is 10948164193. The reversal of 10948164192 is 29146184901.

It is a happy number.

10948164192 is a `hidden beast` number, since 109 + 481 + 64 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10948164193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104608 + ... + 181215.

It is an arithmetic number, because the mean of its divisors is an integer number (260099840).

Almost surely, 2^10948164192 is an apocalyptic number.

10948164192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10948164192 is an abundant number, since it is smaller than the sum of its proper divisors (26506212768).

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

10948164192 is a wasteful number, since it uses less digits than its factorization.

10948164192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285865 (or 285854 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10948164192 in words is "ten billion, nine hundred forty-eight million, one hundred sixty-four thousand, one hundred ninety-two".