48957264001 has 2 divisors, whose sum is σ = 48957264002. Its totient is φ = 48957264000.

The previous prime is 48957263987. The next prime is 48957264043. The reversal of 48957264001 is 10046275984.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30607852401 + 18349411600 = 174951^2 + 135460^2 .

It is a cyclic number.

It is not a de Polignac number, because 48957264001 - 2¹⁷ = 48957132929 is a prime.

It is a super-2 number, since 2×48957264001² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (48957264401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24478632000 + 24478632001.

It is an arithmetic number, because the mean of its divisors is an integer number (24478632001).

Almost surely, 2^48957264001 is an apocalyptic number.

It is an amenable number.

48957264001 is a deficient number, since it is larger than the sum of its proper divisors (1).

48957264001 is an equidigital number, since it uses as much as digits as its factorization.

48957264001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 48957264001 in words is "forty-eight billion, nine hundred fifty-seven million, two hundred sixty-four thousand, one".