31445206650 has 576 divisors, whose sum is σ = 104474313216. Its totient is φ = 6676992000.

The previous prime is 31445206649. The next prime is 31445206669. The reversal of 31445206650 is 5660254413.

31445206650 is a `hidden beast` number, since 3 + 1 + 445 + 206 + 6 + 5 + 0 = 666.

It is a super-2 number, since 2×31445206650² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 111904510 + ... + 111904790.

It is an arithmetic number, because the mean of its divisors is an integer number (181379016).

Almost surely, 2^31445206650 is an apocalyptic number.

31445206650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31445206650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52237156608).

31445206650 is an abundant number, since it is smaller than the sum of its proper divisors (73029106566).

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

31445206650 is a wasteful number, since it uses less digits than its factorization.

31445206650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 31445206650 in words is "thirty-one billion, four hundred forty-five million, two hundred six thousand, six hundred fifty".