46446649344 has 140 divisors (see below), whose sum is σ = 138760045314. Its totient is φ = 15481995264.

The previous prime is 46446649343. The next prime is 46446649373. The reversal of 46446649344 is 44394664464.

It can be written as a sum of positive squares in only one way, i.e., 32503762944 + 13942886400 = 180288^2 + 118080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46446649343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 628554 + ... + 698550.

Almost surely, 2^46446649344 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 46446649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69380022657).

46446649344 is an abundant number, since it is smaller than the sum of its proper divisors (92313395970).

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

46446649344 is an frugal number, since it uses more digits than its factorization.

46446649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70035 (or 70002 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 46446649344 in words is "forty-six billion, four hundred forty-six million, six hundred forty-nine thousand, three hundred forty-four".