31484370550464 has 336 divisors, whose sum is σ = 100559086074720. Its totient is φ = 9351427276800.

The previous prime is 31484370550463. The next prime is 31484370550483. The reversal of 31484370550464 is 46405507348413.

31484370550464 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 4 + 3 + 70 + 5 + 504 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31484370550464.

It is not an unprimeable number, because it can be changed into a prime (31484370550463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227113124 + ... + 1227138780.

It is an arithmetic number, because the mean of its divisors is an integer number (299282994270).

Almost surely, 2^{31484370550464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31484370550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50279543037360).

31484370550464 is an abundant number, since it is smaller than the sum of its proper divisors (69074715524256).

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

31484370550464 is a wasteful number, since it uses less digits than its factorization.

31484370550464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31368 (or 31355 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

Adding to 31484370550464 its reverse (46405507348413), we get a palindrome (77889877898877).

The spelling of 31484370550464 in words is "thirty-one trillion, four hundred eighty-four billion, three hundred seventy million, five hundred fifty thousand, four hundred sixty-four".