48594854942001 has 81 divisors (see below), whose sum is σ = 75843738736857. Its totient is φ = 29979208060560.

The previous prime is 48594854941993. The next prime is 48594854942069. The reversal of 48594854942001 is 10024945849584.

It is a happy number.

The square root of 48594854942001 is 6971001.

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

48594854942001 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 48 + 549 + 42 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 48594854942001 - 2³ = 48594854941993 is a prime.

It is a super-2 number, since 2×48594854942001² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48594854942001.

It is not an unprimeable number, because it can be changed into a prime (48594854142001) 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, 14910969510 + ... + 14910972768.

Almost surely, 2^{48594854942001} is an apocalyptic number.

48594854942001 is the 6971001-st square number.

48594854942001 is the 3485501-st centered octagonal number.

It is an amenable number.

48594854942001 is a deficient number, since it is larger than the sum of its proper divisors (27248883794856).

48594854942001 is an frugal number, since it uses more digits than its factorization.

48594854942001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6632 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 48594854942001 in words is "forty-eight trillion, five hundred ninety-four billion, eight hundred fifty-four million, nine hundred forty-two thousand, one".