48015212348601 has 27 divisors (see below), whose sum is σ = 69463301357359. Its totient is φ = 31960375325952.

The previous prime is 48015212348591. The next prime is 48015212348633. The reversal of 48015212348601 is 10684321251084.

The square root of 48015212348601 is 6929301.

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

48015212348601 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 5 + 2 + 1 + 2 + 34 + 8 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44657610543225 + 3357601805376 = 6682635^2 + 1832376^2 .

It is not a de Polignac number, because 48015212348601 - 2⁷ = 48015212348473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48015212348101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17441049241 + ... + 17441051993.

Almost surely, 2^{48015212348601} is an apocalyptic number.

48015212348601 is the 6929301-st square number.

48015212348601 is the 3464651-st centered octagonal number.

It is an amenable number.

48015212348601 is a deficient number, since it is larger than the sum of its proper divisors (21448089008758).

48015212348601 is an frugal number, since it uses more digits than its factorization.

48015212348601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 48015212348601 its reverse (10684321251084), we get a palindrome (58699533599685).

The spelling of 48015212348601 in words is "forty-eight trillion, fifteen billion, two hundred twelve million, three hundred forty-eight thousand, six hundred one".