46004044040064 has 96 divisors (see below), whose sum is σ = 144416104199640. Its totient is φ = 13940619402240.

The previous prime is 46004044040063. The next prime is 46004044040069.

46004044040064 is a `hidden beast` number, since 4 + 600 + 4 + 0 + 4 + 4 + 0 + 40 + 0 + 6 + 4 = 666.

46004044040064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46004044040063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1815172147 + ... + 1815197490.

Almost surely, 2^{46004044040064} is an apocalyptic number.

46004044040064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46004044040064 is an abundant number, since it is smaller than the sum of its proper divisors (98412060159576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46004044040064 is a wasteful number, since it uses less digits than its factorization.

46004044040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630369668 (or 3630369653 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4600404 and 4040064, that added together give a palindrome (8640468).

The spelling of 46004044040064 in words is "forty-six trillion, four billion, forty-four million, forty thousand, sixty-four", and thus it is an eban number.