4148934451201 has 8 divisors (see below), whose sum is σ = 4152337464744. Its totient is φ = 4145531681280.

The previous prime is 4148934451069. The next prime is 4148934451237. The reversal of 4148934451201 is 1021544398414.

4148934451201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1042034681601 + 3106899769600 = 1020801^2 + 1762640^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4148934451201 - 2¹³ = 4148934443009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4148934451301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51925041 + ... + 52004881.

It is an arithmetic number, because the mean of its divisors is an integer number (519042183093).

Almost surely, 2^{4148934451201} is an apocalyptic number.

It is an amenable number.

4148934451201 is a deficient number, since it is larger than the sum of its proper divisors (3403013543).

4148934451201 is a wasteful number, since it uses less digits than its factorization.

4148934451201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121811.

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 4148934451201 in words is "four trillion, one hundred forty-eight billion, nine hundred thirty-four million, four hundred fifty-one thousand, two hundred one".