31449028608 has 288 divisors, whose sum is σ = 96781230000. Its totient is φ = 9809952768.

The previous prime is 31449028591. The next prime is 31449028631. The reversal of 31449028608 is 80682094413.

It is a happy number.

31449028608 is a `hidden beast` number, since 3 + 14 + 4 + 9 + 0 + 28 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31168008 + ... + 31169016.

Almost surely, 2^31449028608 is an apocalyptic number.

31449028608 is a gapful number since it is divisible by the number (38) 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 31449028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48390615000).

31449028608 is an abundant number, since it is smaller than the sum of its proper divisors (65332201392).

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

31449028608 is a wasteful number, since it uses less digits than its factorization.

31449028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 31449028608 in words is "thirty-one billion, four hundred forty-nine million, twenty-eight thousand, six hundred eight".