31145106048 has 128 divisors (see below), whose sum is σ = 94613339520. Its totient is φ = 8892420096.

The previous prime is 31145106019. The next prime is 31145106061. The reversal of 31145106048 is 84060154113.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5042290 + ... + 5048462.

It is an arithmetic number, because the mean of its divisors is an integer number (739166715).

Almost surely, 2^31145106048 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 31145106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47306669760).

31145106048 is an abundant number, since it is smaller than the sum of its proper divisors (63468233472).

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

31145106048 is a wasteful number, since it uses less digits than its factorization.

31145106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8074 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 31145106048 in words is "thirty-one billion, one hundred forty-five million, one hundred six thousand, forty-eight".