31344342314112 has 96 divisors (see below), whose sum is σ = 91089646125660. Its totient is φ = 10344667392000.

The previous prime is 31344342314101. The next prime is 31344342314191. The reversal of 31344342314112 is 21141324344313.

31344342314112 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 4 + 3 + 4 + 231 + 411 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27391657559616 + 3952684754496 = 5233704^2 + 1988136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134579839 + ... + 134812542.

Almost surely, 2^{31344342314112} is an apocalyptic number.

31344342314112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31344342314112 is an abundant number, since it is smaller than the sum of its proper divisors (59745303811548).

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

31344342314112 is a wasteful number, since it uses less digits than its factorization.

31344342314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269392502 (or 269392487 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 31344342314112 its reverse (21141324344313), we get a palindrome (52485666658425).

The spelling of 31344342314112 in words is "thirty-one trillion, three hundred forty-four billion, three hundred forty-two million, three hundred fourteen thousand, one hundred twelve".