31146403442112 has 224 divisors, whose sum is σ = 104792948249600. Its totient is φ = 8886418523136.

The previous prime is 31146403442107. The next prime is 31146403442183. The reversal of 31146403442112 is 21124430464113.

It is a happy number.

31146403442112 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 640 + 3 + 4 + 4 + 2 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6760173 + ... + 10391955.

Almost surely, 2^{31146403442112} is an apocalyptic number.

31146403442112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31146403442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52396474124800).

31146403442112 is an abundant number, since it is smaller than the sum of its proper divisors (73646544807488).

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

31146403442112 is a wasteful number, since it uses less digits than its factorization.

31146403442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632520 (or 3632504 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 31146403442112 in words is "thirty-one trillion, one hundred forty-six billion, four hundred three million, four hundred forty-two thousand, one hundred twelve".