38182363074450 has 576 divisors, whose sum is σ = 128324276720640. Its totient is φ = 8245764023040.

The previous prime is 38182363074377. The next prime is 38182363074467. The reversal of 38182363074450 is 5447036328183.

It is a happy number.

38182363074450 is a `hidden beast` number, since 3 + 8 + 18 + 236 + 307 + 44 + 50 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 602717677 + ... + 602781023.

It is an arithmetic number, because the mean of its divisors is an integer number (222785202640).

Almost surely, 2^{38182363074450} is an apocalyptic number.

38182363074450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38182363074450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162138360320).

38182363074450 is an abundant number, since it is smaller than the sum of its proper divisors (90141913646190).

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

38182363074450 is a wasteful number, since it uses less digits than its factorization.

38182363074450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63773 (or 63756 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 38182363074450 in words is "thirty-eight trillion, one hundred eighty-two billion, three hundred sixty-three million, seventy-four thousand, four hundred fifty".