46600044000664 has 288 divisors, whose sum is σ = 112915769132880. Its totient is φ = 17961894720000.

The previous prime is 46600044000659. The next prime is 46600044000667.

It is a happy number.

46600044000664 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46600044000667) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7650636259 + ... + 7650642349.

Almost surely, 2^{46600044000664} is an apocalyptic number.

46600044000664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46600044000664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56457884566440).

46600044000664 is an abundant number, since it is smaller than the sum of its proper divisors (66315725132216).

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

46600044000664 is a wasteful number, since it uses less digits than its factorization.

46600044000664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 4660004 and 4000664, that added together give a palindrome (8660668).

The spelling of 46600044000664 in words is "forty-six trillion, six hundred billion, forty-four million, six hundred sixty-four", and thus it is an aban number.