385214269105120 has 384 divisors, whose sum is σ = 1121464488646656. Its totient is φ = 121763868696576.

The previous prime is 385214269105117. The next prime is 385214269105123. The reversal of 385214269105120 is 21501962412583.

It is an interprime number because it is at equal distance from previous prime (385214269105117) and next prime (385214269105123).

It is a super-2 number, since 2×385214269105120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385214269105123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67380488502 + ... + 67380494218.

It is an arithmetic number, because the mean of its divisors is an integer number (2920480439184).

Almost surely, 2^{385214269105120} 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 385214269105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560732244323328).

385214269105120 is an abundant number, since it is smaller than the sum of its proper divisors (736250219541536).

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

385214269105120 is a wasteful number, since it uses less digits than its factorization.

385214269105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 385214269105120 in words is "three hundred eighty-five trillion, two hundred fourteen billion, two hundred sixty-nine million, one hundred five thousand, one hundred twenty".