39661519104 has 189 divisors, whose sum is σ = 118955904109. Its totient is φ = 13191828480.

The previous prime is 39661519091. The next prime is 39661519109. The reversal of 39661519104 is 40191516693.

The square root of 39661519104 is 199152.

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

39661519104 is a `hidden beast` number, since 3 + 9 + 6 + 615 + 19 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12713013504 + 26948505600 = 112752^2 + 164160^2 .

It is a super-3 number, since 3×39661519104³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39661519104.

It is not an unprimeable number, because it can be changed into a prime (39661519109) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 86033434 + ... + 86033894.

Almost surely, 2^39661519104 is an apocalyptic number.

39661519104 is the 199152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39661519104

39661519104 is an abundant number, since it is smaller than the sum of its proper divisors (79294385005).

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

39661519104 is an frugal number, since it uses more digits than its factorization.

39661519104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 39661519104 in words is "thirty-nine billion, six hundred sixty-one million, five hundred nineteen thousand, one hundred four".