31225775616 has 320 divisors, whose sum is σ = 106384143360. Its totient is φ = 8858419200.

The previous prime is 31225775527. The next prime is 31225775617. The reversal of 31225775616 is 61657752213.

It is a happy number.

31225775616 is a `hidden beast` number, since 3 + 1 + 2 + 25 + 7 + 7 + 5 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31225775617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14610900 + ... + 14613036.

It is an arithmetic number, because the mean of its divisors is an integer number (332450448).

Almost surely, 2^31225775616 is an apocalyptic number.

31225775616 is a gapful number since it is divisible by the number (36) 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 31225775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53192071680).

31225775616 is an abundant number, since it is smaller than the sum of its proper divisors (75158367744).

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

31225775616 is a wasteful number, since it uses less digits than its factorization.

31225775616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2300 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 31225775616 in words is "thirty-one billion, two hundred twenty-five million, seven hundred seventy-five thousand, six hundred sixteen".