31474047456 has 288 divisors, whose sum is σ = 94650716160. Its totient is φ = 9910397952.

The previous prime is 31474047421. The next prime is 31474047467. The reversal of 31474047456 is 65474047413.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51851505 + ... + 51852111.

It is an arithmetic number, because the mean of its divisors is an integer number (328648320).

Almost surely, 2^31474047456 is an apocalyptic number.

31474047456 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 31474047456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47325358080).

31474047456 is an abundant number, since it is smaller than the sum of its proper divisors (63176668704).

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

31474047456 is a wasteful number, since it uses less digits than its factorization.

31474047456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 31474047456 in words is "thirty-one billion, four hundred seventy-four million, forty-seven thousand, four hundred fifty-six".