46338522021792 has 576 divisors, whose sum is σ = 176962592491776. Its totient is φ = 11108019732480.

The previous prime is 46338522021773. The next prime is 46338522021821. The reversal of 46338522021792 is 29712022583364.

46338522021792 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 8 + 522 + 0 + 21 + 7 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1941031168 + ... + 1941055040.

It is an arithmetic number, because the mean of its divisors is an integer number (307226723076).

It is a 1-persistent number, because it is pandigital, but 2⋅46338522021792 = 92677044043584 is not.

Almost surely, 2^{46338522021792} is an apocalyptic number.

46338522021792 is a gapful number since it is divisible by the number (42) 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 46338522021792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88481296245888).

46338522021792 is an abundant number, since it is smaller than the sum of its proper divisors (130624070469984).

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

46338522021792 is a wasteful number, since it uses less digits than its factorization.

46338522021792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30653 (or 30642 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 46338522021792 in words is "forty-six trillion, three hundred thirty-eight billion, five hundred twenty-two million, twenty-one thousand, seven hundred ninety-two".