385485541782264 has 2048 divisors, whose sum is σ = 1407089796710400. Its totient is φ = 96107207616000.

The previous prime is 385485541782203. The next prime is 385485541782269. The reversal of 385485541782264 is 462287145584583.

385485541782264 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 8 + 5 + 541 + 78 + 2 + 2 + 6 + 4 = 666.

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 = 385485541782192 and 385485541782201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385485541782269) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1110909342139 + ... + 1110909342485.

It is an arithmetic number, because the mean of its divisors is an integer number (687055564800).

Almost surely, 2^{385485541782264} 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 385485541782264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703544898355200).

385485541782264 is an abundant number, since it is smaller than the sum of its proper divisors (1021604254928136).

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

385485541782264 is a wasteful number, since it uses less digits than its factorization.

385485541782264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 691 counting only the distinct ones).

The product of its digits is 2064384000, while the sum is 72.

The spelling of 385485541782264 in words is "three hundred eighty-five trillion, four hundred eighty-five billion, five hundred forty-one million, seven hundred eighty-two thousand, two hundred sixty-four".