38149041686016 has 640 divisors, whose sum is σ = 117854125424640. Its totient is φ = 10885703270400.

The previous prime is 38149041686003. The next prime is 38149041686083. The reversal of 38149041686016 is 61068614094183.

It is a super-4 number, since 4×38149041686016⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953246171 + ... + 1953265701.

It is an arithmetic number, because the mean of its divisors is an integer number (184147070976).

Almost surely, 2^{38149041686016} 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 38149041686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58927062712320).

38149041686016 is an abundant number, since it is smaller than the sum of its proper divisors (79705083738624).

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

38149041686016 is a wasteful number, since it uses less digits than its factorization.

38149041686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19746 (or 19730 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 38149041686016 in words is "thirty-eight trillion, one hundred forty-nine billion, forty-one million, six hundred eighty-six thousand, sixteen".