385310093224056 has 1920 divisors, whose sum is σ = 1381978821427200. Its totient is φ = 87486182784000.

The previous prime is 385310093224027. The next prime is 385310093224081. The reversal of 385310093224056 is 650422390013583.

It is a super-2 number, since 2×385310093224056² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1826114185791 + ... + 1826114186001.

It is an arithmetic number, because the mean of its divisors is an integer number (719780636160).

Almost surely, 2^{385310093224056} 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 385310093224056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690989410713600).

385310093224056 is an abundant number, since it is smaller than the sum of its proper divisors (996668728203144).

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

385310093224056 is a wasteful number, since it uses less digits than its factorization.

385310093224056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 385310093224056 in words is "three hundred eighty-five trillion, three hundred ten billion, ninety-three million, two hundred twenty-four thousand, fifty-six".