31017428064 has 576 divisors, whose sum is σ = 113183723520. Its totient is φ = 8209797120.

The previous prime is 31017428053. The next prime is 31017428069. The reversal of 31017428064 is 46082471013.

31017428064 is a `hidden beast` number, since 310 + 1 + 7 + 4 + 280 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31017428069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51099249 + ... + 51099855.

It is an arithmetic number, because the mean of its divisors is an integer number (196499520).

Almost surely, 2^31017428064 is an apocalyptic number.

31017428064 is a gapful number since it is divisible by the number (34) 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 31017428064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56591861760).

31017428064 is an abundant number, since it is smaller than the sum of its proper divisors (82166295456).

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

31017428064 is a wasteful number, since it uses less digits than its factorization.

31017428064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 31017428064 its reverse (46082471013), we get a palindrome (77099899077).

The spelling of 31017428064 in words is "thirty-one billion, seventeen million, four hundred twenty-eight thousand, sixty-four".