48597761601 has 9 divisors (see below), whose sum is σ = 70197722049. Its totient is φ = 32398066836.

The previous prime is 48597761591. The next prime is 48597761609. The reversal of 48597761601 is 10616779584.

The square root of 48597761601 is 220449.

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

48597761601 is a `hidden beast` number, since 48 + 597 + 7 + 6 + 1 + 6 + 0 + 1 = 666.

48597761601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 48597761601 - 2²⁵ = 48564207169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48597761609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 624606 + ... + 698088.

Almost surely, 2^48597761601 is an apocalyptic number.

48597761601 is the 220449-th square number.

48597761601 is the 110225-th centered octagonal number.

It is an amenable number.

48597761601 is a deficient number, since it is larger than the sum of its proper divisors (21599960448).

48597761601 is an frugal number, since it uses more digits than its factorization.

48597761601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146972 (or 73486 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 48597761601 in words is "forty-eight billion, five hundred ninety-seven million, seven hundred sixty-one thousand, six hundred one".