31414473216 has 160 divisors (see below), whose sum is σ = 106273495680. Its totient is φ = 8975536128.

The previous prime is 31414473197. The next prime is 31414473217. The reversal of 31414473216 is 61237441413.

31414473216 is a `hidden beast` number, since 314 + 14 + 4 + 7 + 321 + 6 = 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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (31414473217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65551 + ... + 259086.

It is an arithmetic number, because the mean of its divisors is an integer number (664209348).

Almost surely, 2^31414473216 is an apocalyptic number.

31414473216 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 31414473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136747840).

31414473216 is an abundant number, since it is smaller than the sum of its proper divisors (74859022464).

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

31414473216 is an equidigital number, since it uses as much as digits as its factorization.

31414473216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324671 (or 324649 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 31414473216 in words is "thirty-one billion, four hundred fourteen million, four hundred seventy-three thousand, two hundred sixteen".