385125022464 has 432 divisors, whose sum is σ = 1296694893312. Its totient is φ = 100572143616.

The previous prime is 385125022441. The next prime is 385125022493. The reversal of 385125022464 is 464220521583.

385125022464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50385427 + ... + 50393069.

Almost surely, 2^385125022464 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 385125022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648347446656).

385125022464 is an abundant number, since it is smaller than the sum of its proper divisors (911569870848).

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

385125022464 is a wasteful number, since it uses less digits than its factorization.

385125022464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7792 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 385125022464 in words is "three hundred eighty-five billion, one hundred twenty-five million, twenty-two thousand, four hundred sixty-four".