31145054112 has 72 divisors (see below), whose sum is σ = 90628521984. Its totient is φ = 10140246144.

The previous prime is 31145054111. The next prime is 31145054113. The reversal of 31145054112 is 21145054113.

31145054112 is a `hidden beast` number, since 3 + 114 + 5 + 0 + 541 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (31145054111) and next prime (31145054113).

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

It is not an unprimeable number, because it can be changed into a prime (31145054111) 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, 1245088 + ... + 1269855.

It is an arithmetic number, because the mean of its divisors is an integer number (1258729472).

Almost surely, 2^31145054112 is an apocalyptic number.

31145054112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31145054112 is an abundant number, since it is smaller than the sum of its proper divisors (59483467872).

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

31145054112 is a wasteful number, since it uses less digits than its factorization.

31145054112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515002 (or 2514991 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Subtracting from 31145054112 its reverse (21145054113), we obtain a palindrome (9999999999).

The spelling of 31145054112 in words is "thirty-one billion, one hundred forty-five million, fifty-four thousand, one hundred twelve".