46418864448 has 224 divisors, whose sum is σ = 138154867200. Its totient is φ = 13631293440.

The previous prime is 46418864423. The next prime is 46418864467. The reversal of 46418864448 is 84446881464.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22113703 + ... + 22115801.

It is an arithmetic number, because the mean of its divisors is an integer number (616762800).

Almost surely, 2^46418864448 is an apocalyptic number.

46418864448 is a gapful number since it is divisible by the number (48) 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 46418864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69077433600).

46418864448 is an abundant number, since it is smaller than the sum of its proper divisors (91736002752).

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

46418864448 is a wasteful number, since it uses less digits than its factorization.

46418864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2435 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 57.

The spelling of 46418864448 in words is "forty-six billion, four hundred eighteen million, eight hundred sixty-four thousand, four hundred forty-eight".