31414536302016 has 112 divisors (see below), whose sum is σ = 95019129849600. Its totient is φ = 8972978104320.

The previous prime is 31414536301997. The next prime is 31414536302033. The reversal of 31414536302016 is 61020363541413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×31414536302016² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246951 + ... + 8023961.

Almost surely, 2^{31414536302016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31414536302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47509564924800).

31414536302016 is an abundant number, since it is smaller than the sum of its proper divisors (63604593547584).

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

31414536302016 is a wasteful number, since it uses less digits than its factorization.

31414536302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6780482 (or 6780472 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 31414536302016 its reverse (61020363541413), we get a palindrome (92434899843429).

The spelling of 31414536302016 in words is "thirty-one trillion, four hundred fourteen billion, five hundred thirty-six million, three hundred two thousand, sixteen".