385202223947520 has 648 divisors, whose sum is σ = 1552750658825184. Its totient is φ = 87910055460864.

The previous prime is 385202223947507. The next prime is 385202223947549. The reversal of 385202223947520 is 25749322202583.

385202223947520 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 0 + 2 + 2 + 23 + 94 + 7 + 520 = 666.

It is a super-3 number, since 3×385202223947520³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 364691202 + ... + 365745918.

It is an arithmetic number, because the mean of its divisors is an integer number (2396220152508).

Almost surely, 2^{385202223947520} is an apocalyptic number.

385202223947520 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 385202223947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776375329412592).

385202223947520 is an abundant number, since it is smaller than the sum of its proper divisors (1167548434877664).

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

385202223947520 is a wasteful number, since it uses less digits than its factorization.

385202223947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055405 (or 1055381 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 385202223947520 in words is "three hundred eighty-five trillion, two hundred two billion, two hundred twenty-three million, nine hundred forty-seven thousand, five hundred twenty".