385883614116000 has 6912 divisors, whose sum is σ = 1965940262028288. Its totient is φ = 71833817088000.

The previous prime is 385883614115981. The next prime is 385883614116029. The reversal of 385883614116000 is 611416388583.

It is a happy number.

385883614116000 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 8 + 3 + 6 + 14 + 11 + 600 + 0 = 666.

It is a super-2 number, since 2×385883614116000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 971999027802 + ... + 971999028198.

It is an arithmetic number, because the mean of its divisors is an integer number (284424227724).

Almost surely, 2^{385883614116000} is an apocalyptic number.

385883614116000 is a gapful number since it is divisible by the number (30) 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 385883614116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982970131014144).

385883614116000 is an abundant number, since it is smaller than the sum of its proper divisors (1580056647912288).

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

385883614116000 is a wasteful number, since it uses less digits than its factorization.

385883614116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 385883614116000 in words is "three hundred eighty-five trillion, eight hundred eighty-three billion, six hundred fourteen million, one hundred sixteen thousand".