46444648311 has 24 divisors (see below), whose sum is σ = 68605056000. Its totient is φ = 30268192272.

The previous prime is 46444648277. The next prime is 46444648321. The reversal of 46444648311 is 11384644464.

46444648311 is a `hidden beast` number, since 464 + 44 + 64 + 83 + 11 = 666.

46444648311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46444648311 - 2¹⁰ = 46444647287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46444648321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149271 + ... + 339368.

It is an arithmetic number, because the mean of its divisors is an integer number (2858544000).

Almost surely, 2^46444648311 is an apocalyptic number.

46444648311 is a deficient number, since it is larger than the sum of its proper divisors (22160407689).

46444648311 is a wasteful number, since it uses less digits than its factorization.

46444648311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488883 (or 488880 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

It can be divided in two parts, 4644464 and 8311, that added together give a triangular number (4652775 = T₃₀₅₀).

The spelling of 46444648311 in words is "forty-six billion, four hundred forty-four million, six hundred forty-eight thousand, three hundred eleven".