38650983985152 has 2808 divisors, whose sum is σ = 154708752027648. Its totient is φ = 9435948318720.

The previous prime is 38650983985121. The next prime is 38650983985231. The reversal of 38650983985152 is 25158938905683.

38650983985152 is a `hidden beast` number, since 3 + 8 + 6 + 50 + 98 + 398 + 51 + 52 = 666.

It is a super-4 number, since 4×38650983985152⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 304338456513 + ... + 304338456639.

Almost surely, 2^{38650983985152} is an apocalyptic number.

38650983985152 is a gapful number since it is divisible by the number (32) 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 38650983985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77354376013824).

38650983985152 is an abundant number, since it is smaller than the sum of its proper divisors (116057768042496).

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

38650983985152 is a wasteful number, since it uses less digits than its factorization.

38650983985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 38650983985152 in words is "thirty-eight trillion, six hundred fifty billion, nine hundred eighty-three million, nine hundred eighty-five thousand, one hundred fifty-two".