31459228416 has 1440 divisors, whose sum is σ = 132486520320. Its totient is φ = 7166361600.

The previous prime is 31459228403. The next prime is 31459228417. The reversal of 31459228416 is 61482295413.

31459228416 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 9 + 228 + 416 = 666.

Its product of digits (414720) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31459228417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 515725026 + ... + 515725086.

It is an arithmetic number, because the mean of its divisors is an integer number (92004528).

Almost surely, 2^31459228416 is an apocalyptic number.

31459228416 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 31459228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66243260160).

31459228416 is an abundant number, since it is smaller than the sum of its proper divisors (101027291904).

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

31459228416 is a wasteful number, since it uses less digits than its factorization.

31459228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 31459228416 in words is "thirty-one billion, four hundred fifty-nine million, two hundred twenty-eight thousand, four hundred sixteen".