463040146441153 has 24 divisors (see below), whose sum is σ = 493782137053128. Its totient is φ = 432709127626752.

The previous prime is 463040146441139. The next prime is 463040146441177. The reversal of 463040146441153 is 351144641040364.

It can be written as a sum of positive squares in 4 ways, for example, as 142145338590784 + 320894807850369 = 11922472^2 + 17913537^2 .

It is not a de Polignac number, because 463040146441153 - 2¹⁷ = 463040146310081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463040146481153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466082001 + ... + 467074417.

It is an arithmetic number, because the mean of its divisors is an integer number (20574255710547).

Almost surely, 2^{463040146441153} is an apocalyptic number.

It is an amenable number.

463040146441153 is a deficient number, since it is larger than the sum of its proper divisors (30741990611975).

463040146441153 is a wasteful number, since it uses less digits than its factorization.

463040146441153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993793 (or 993630 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 463040146441153 in words is "four hundred sixty-three trillion, forty billion, one hundred forty-six million, four hundred forty-one thousand, one hundred fifty-three".