46338419952 has 320 divisors, whose sum is σ = 153408038400. Its totient is φ = 13244497920.

The previous prime is 46338419917. The next prime is 46338419989. The reversal of 46338419952 is 25991483364.

46338419952 is a `hidden beast` number, since 463 + 3 + 8 + 41 + 99 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23203018 + ... + 23205014.

It is an arithmetic number, because the mean of its divisors is an integer number (479400120).

Almost surely, 2^46338419952 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 46338419952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76704019200).

46338419952 is an abundant number, since it is smaller than the sum of its proper divisors (107069618448).

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

46338419952 is a wasteful number, since it uses less digits than its factorization.

46338419952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2289 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 46338419952 in words is "forty-six billion, three hundred thirty-eight million, four hundred nineteen thousand, nine hundred fifty-two".