48810497575401 has 81 divisors (see below), whose sum is σ = 73239479293071. Its totient is φ = 31324339920384.

The previous prime is 48810497575391. The next prime is 48810497575513. The reversal of 48810497575401 is 10457579401884.

The square root of 48810497575401 is 6986451.

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

48810497575401 is a `hidden beast` number, since 4 + 8 + 8 + 10 + 4 + 9 + 7 + 575 + 40 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 48288670490025 + 521827085376 = 6949005^2 + 722376^2 .

It is not a de Polignac number, because 48810497575401 - 2¹⁷ = 48810497444329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48810497573401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87631054615 + ... + 87631055171.

Almost surely, 2^{48810497575401} is an apocalyptic number.

48810497575401 is the 6986451-st square number.

48810497575401 is the 3493226-th centered octagonal number.

It is an amenable number.

48810497575401 is a deficient number, since it is larger than the sum of its proper divisors (24428981717670).

48810497575401 is an frugal number, since it uses more digits than its factorization.

48810497575401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 48810497575401 in words is "forty-eight trillion, eight hundred ten billion, four hundred ninety-seven million, five hundred seventy-five thousand, four hundred one".