380853098543232 has 2304 divisors, whose sum is σ = 1451406587904000. Its totient is φ = 98721916231680.

The previous prime is 380853098543231. The next prime is 380853098543273. The reversal of 380853098543232 is 232345890358083.

It is a happy number.

380853098543232 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 53 + 0 + 9 + 8 + 543 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 380853098543232.

It is not an unprimeable number, because it can be changed into a prime (380853098543231) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 106651664007 + ... + 106651667577.

It is an arithmetic number, because the mean of its divisors is an integer number (629950776000).

Almost surely, 2^{380853098543232} is an apocalyptic number.

380853098543232 is a gapful number since it is divisible by the number (32) 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 380853098543232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725703293952000).

380853098543232 is an abundant number, since it is smaller than the sum of its proper divisors (1070553489360768).

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

380853098543232 is a wasteful number, since it uses less digits than its factorization.

380853098543232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 380853098543232 in words is "three hundred eighty trillion, eight hundred fifty-three billion, ninety-eight million, five hundred forty-three thousand, two hundred thirty-two".