31300686144 has 672 divisors, whose sum is σ = 121340733696. Its totient is φ = 7763558400.

The previous prime is 31300686133. The next prime is 31300686149. The reversal of 31300686144 is 44168600313.

It is a happy number.

31300686144 is a `hidden beast` number, since 3 + 1 + 30 + 0 + 6 + 8 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 31300686099 and 31300686108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31300686149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24058294 + ... + 24059594.

It is an arithmetic number, because the mean of its divisors is an integer number (180566568).

Almost surely, 2^31300686144 is an apocalyptic number.

31300686144 is a gapful number since it is divisible by the number (34) 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 31300686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60670366848).

31300686144 is an abundant number, since it is smaller than the sum of its proper divisors (90040047552).

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

31300686144 is a wasteful number, since it uses less digits than its factorization.

31300686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31300686144 in words is "thirty-one billion, three hundred million, six hundred eighty-six thousand, one hundred forty-four".