39122314078608 has 640 divisors, whose sum is σ = 124108627968000. Its totient is φ = 11752474705920.

The previous prime is 39122314078543. The next prime is 39122314078619. The reversal of 39122314078608 is 80687041322193.

It is a happy number.

39122314078608 is a `hidden beast` number, since 3 + 9 + 1 + 2 + 23 + 1 + 4 + 0 + 7 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4683620160 + ... + 4683628512.

It is an arithmetic number, because the mean of its divisors is an integer number (193919731200).

Almost surely, 2^{39122314078608} is an apocalyptic number.

39122314078608 is a gapful number since it is divisible by the number (38) 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 39122314078608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62054313984000).

39122314078608 is an abundant number, since it is smaller than the sum of its proper divisors (84986313889392).

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

39122314078608 is a wasteful number, since it uses less digits than its factorization.

39122314078608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 39122314078608 in words is "thirty-nine trillion, one hundred twenty-two billion, three hundred fourteen million, seventy-eight thousand, six hundred eight".