385621124616 has 384 divisors, whose sum is σ = 1363766476800. Its totient is φ = 95586946560.

The previous prime is 385621124563. The next prime is 385621124657. The reversal of 385621124616 is 616421126583.

385621124616 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 2 + 1 + 1 + 24 + 616 = 666.

It is a super-2 number, since 2×385621124616² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15797781 + ... + 15822171.

It is an arithmetic number, because the mean of its divisors is an integer number (3551475200).

Almost surely, 2^385621124616 is an apocalyptic number.

385621124616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385621124616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681883238400).

385621124616 is an abundant number, since it is smaller than the sum of its proper divisors (978145352184).

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

385621124616 is a wasteful number, since it uses less digits than its factorization.

385621124616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24569 (or 24562 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 385621124616 in words is "three hundred eighty-five billion, six hundred twenty-one million, one hundred twenty-four thousand, six hundred sixteen".