386101825146016 has 192 divisors, whose sum is σ = 881946125254656. Its totient is φ = 162960002150400.

The previous prime is 386101825146007. The next prime is 386101825146017. The reversal of 386101825146016 is 610641528101683.

It is not an unprimeable number, because it can be changed into a prime (386101825146017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79921716721 + ... + 79921721551.

It is an arithmetic number, because the mean of its divisors is an integer number (4593469402368).

Almost surely, 2^{386101825146016} 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 386101825146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440973062627328).

386101825146016 is an abundant number, since it is smaller than the sum of its proper divisors (495844300108640).

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

386101825146016 is a wasteful number, since it uses less digits than its factorization.

386101825146016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9475 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 386101825146016 in words is "three hundred eighty-six trillion, one hundred one billion, eight hundred twenty-five million, one hundred forty-six thousand, sixteen".