39509483921648 has 80 divisors (see below), whose sum is σ = 86804210320800. Its totient is φ = 17269965573120.

The previous prime is 39509483921647. The next prime is 39509483921689. The reversal of 39509483921648 is 84612938490593.

It is a happy number.

It is a Cunningham number, because it is equal to 6285657²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39509483921647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10999898 + ... + 14142726.

It is an arithmetic number, because the mean of its divisors is an integer number (1085052629010).

Almost surely, 2^{39509483921648} is an apocalyptic number.

39509483921648 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 39509483921648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43402105160400).

39509483921648 is an abundant number, since it is smaller than the sum of its proper divisors (47294726399152).

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

39509483921648 is a wasteful number, since it uses less digits than its factorization.

39509483921648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146050 (or 3146044 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 71.

The spelling of 39509483921648 in words is "thirty-nine trillion, five hundred nine billion, four hundred eighty-three million, nine hundred twenty-one thousand, six hundred forty-eight".