39492689854464 has 1104 divisors, whose sum is σ = 148723962312960. Its totient is φ = 10241987051520.

The previous prime is 39492689854447. The next prime is 39492689854469. The reversal of 39492689854464 is 46445898629493.

39492689854464 is a `hidden beast` number, since 3 + 9 + 4 + 9 + 2 + 6 + 8 + 9 + 8 + 544 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39492689854469) 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, 61039705789 + ... + 61039706435.

Almost surely, 2^{39492689854464} 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 39492689854464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74361981156480).

39492689854464 is an abundant number, since it is smaller than the sum of its proper divisors (109231272458496).

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

39492689854464 is an frugal number, since it uses more digits than its factorization.

39492689854464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 670 counting only the distinct ones).

The product of its digits is 12899450880, while the sum is 81.

The spelling of 39492689854464 in words is "thirty-nine trillion, four hundred ninety-two billion, six hundred eighty-nine million, eight hundred fifty-four thousand, four hundred sixty-four".