39546890496 has 135 divisors (see below), whose sum is σ = 118007122233. Its totient is φ = 13172751360.

The previous prime is 39546890477. The next prime is 39546890501. The reversal of 39546890496 is 69409864593.

The square root of 39546890496 is 198864.

It is a perfect power (a square), and thus also a powerful number.

39546890496 is a `hidden beast` number, since 3 + 9 + 54 + 6 + 8 + 90 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17973156096 + 21573734400 = 134064^2 + 146880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28635726 + ... + 28637106.

Almost surely, 2^39546890496 is an apocalyptic number.

39546890496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39546890496 is the 198864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39546890496

39546890496 is an abundant number, since it is smaller than the sum of its proper divisors (78460231737).

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

39546890496 is an frugal number, since it uses more digits than its factorization.

39546890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 39546890496 in words is "thirty-nine billion, five hundred forty-six million, eight hundred ninety thousand, four hundred ninety-six".