385501573695168 has 896 divisors, whose sum is σ = 1417480544256000. Its totient is φ = 100253546864640.

The previous prime is 385501573695167. The next prime is 385501573695191. The reversal of 385501573695168 is 861596375105583.

385501573695168 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 0 + 157 + 369 + 51 + 68 = 666.

It is a super-2 number, since 2×385501573695168² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 385501573695096 and 385501573695105.

It is not an unprimeable number, because it can be changed into a prime (385501573695167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 990116980 + ... + 990506252.

It is an arithmetic number, because the mean of its divisors is an integer number (1582009536000).

Almost surely, 2^{385501573695168} is an apocalyptic number.

385501573695168 is a gapful number since it is divisible by the number (38) 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 385501573695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708740272128000).

385501573695168 is an abundant number, since it is smaller than the sum of its proper divisors (1031978970560832).

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

385501573695168 is a wasteful number, since it uses less digits than its factorization.

385501573695168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389490 (or 389474 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 385501573695168 in words is "three hundred eighty-five trillion, five hundred one billion, five hundred seventy-three million, six hundred ninety-five thousand, one hundred sixty-eight".