38246345046 has 432 divisors, whose sum is σ = 111866216400. Its totient is φ = 9651882240.

The previous prime is 38246345029. The next prime is 38246345069. The reversal of 38246345046 is 64054364283.

38246345046 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 634 + 5 + 0 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38246344992 and 38246345010.

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 215 ways as a sum of consecutive naturals, for example, 429734170 + ... + 429734258.

It is an arithmetic number, because the mean of its divisors is an integer number (258949575).

Almost surely, 2^38246345046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38246345046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55933108200).

38246345046 is an abundant number, since it is smaller than the sum of its proper divisors (73619871354).

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

38246345046 is a wasteful number, since it uses less digits than its factorization.

38246345046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 38246345046 in words is "thirty-eight billion, two hundred forty-six million, three hundred forty-five thousand, forty-six".