110314128000672 has 36 divisors (see below), whose sum is σ = 313705801502730. Its totient is φ = 36771376000128.

The previous prime is 110314128000649. The next prime is 110314128000673. The reversal of 110314128000672 is 276000821413011.

110314128000672 is a `hidden beast` number, since 1 + 1 + 0 + 314 + 1 + 280 + 0 + 0 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107438946556176 + 2875181444496 = 10365276^2 + 1695636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (110314128000673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191517583047 + ... + 191517583622.

Almost surely, 2^{110314128000672} is an apocalyptic number.

110314128000672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110314128000672 is an abundant number, since it is smaller than the sum of its proper divisors (203391673502058).

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

110314128000672 is a wasteful number, since it uses less digits than its factorization.

110314128000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383035166685 (or 383035166674 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 110314128000672 its reverse (276000821413011), we get a palindrome (386314949413683).

The spelling of 110314128000672 in words is "one hundred ten trillion, three hundred fourteen billion, one hundred twenty-eight million, six hundred seventy-two", and thus it is an aban number.