46024442064 has 120 divisors (see below), whose sum is σ = 135677204000. Its totient is φ = 14524012800.

The previous prime is 46024442063. The next prime is 46024442069.

46024442064 is a `hidden beast` number, since 4 + 6 + 0 + 2 + 444 + 206 + 4 = 666.

46024442064 is nontrivially palindromic in base 10.

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 (46024442063) 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, 4643514 + ... + 4653414.

Almost surely, 2^46024442064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46024442064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67838602000).

46024442064 is an abundant number, since it is smaller than the sum of its proper divisors (89652761936).

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

46024442064 is a wasteful number, since it uses less digits than its factorization.

46024442064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11633 (or 11624 counting only the distinct ones).

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

The spelling of 46024442064 in words is "forty-six billion, twenty-four million, four hundred forty-two thousand, sixty-four".