31431078016 has 128 divisors (see below), whose sum is σ = 71419420800. Its totient is φ = 13658554368.

The previous prime is 31431077987. The next prime is 31431078017. The reversal of 31431078016 is 61087013413.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (31431078017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5276896 + ... + 5282848.

It is an arithmetic number, because the mean of its divisors is an integer number (557964225).

Almost surely, 2^31431078016 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 31431078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35709710400).

31431078016 is an abundant number, since it is smaller than the sum of its proper divisors (39988342784).

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

31431078016 is a wasteful number, since it uses less digits than its factorization.

31431078016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 31431078016 in words is "thirty-one billion, four hundred thirty-one million, seventy-eight thousand, sixteen".