31144329216 has 720 divisors, whose sum is σ = 121371065088. Its totient is φ = 7431782400.

The previous prime is 31144329197. The next prime is 31144329247. The reversal of 31144329216 is 61292344113.

31144329216 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 432 + 9 + 216 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147603351 + ... + 147603561.

Almost surely, 2^31144329216 is an apocalyptic number.

31144329216 is a gapful number since it is divisible by the number (36) 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 31144329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60685532544).

31144329216 is an abundant number, since it is smaller than the sum of its proper divisors (90226735872).

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

31144329216 is a wasteful number, since it uses less digits than its factorization.

31144329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 31144329216 in words is "thirty-one billion, one hundred forty-four million, three hundred twenty-nine thousand, two hundred sixteen".