39794412942648 has 256 divisors, whose sum is σ = 137297440896000. Its totient is φ = 10398942715392.

The previous prime is 39794412942517. The next prime is 39794412942659. The reversal of 39794412942648 is 84624921449793.

39794412942648 is a `hidden beast` number, since 3 + 9 + 79 + 4 + 4 + 1 + 294 + 264 + 8 = 666.

39794412942648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 7144390 + ... + 11429397.

It is an arithmetic number, because the mean of its divisors is an integer number (536318128500).

Almost surely, 2^{39794412942648} is an apocalyptic number.

It is an amenable number.

39794412942648 is an abundant number, since it is smaller than the sum of its proper divisors (97503027953352).

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

39794412942648 is a wasteful number, since it uses less digits than its factorization.

39794412942648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18573931 (or 18573921 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 39794412942648 in words is "thirty-nine trillion, seven hundred ninety-four billion, four hundred twelve million, nine hundred forty-two thousand, six hundred forty-eight".