381900064605696 has 6400 divisors, whose sum is σ = 1617061501440000. Its totient is φ = 88708727439360.

The previous prime is 381900064605673. The next prime is 381900064605727. The reversal of 381900064605696 is 696506460009183.

381900064605696 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 0 + 0 + 0 + 6 + 4 + 60 + 569 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5378874149341 + ... + 5378874149411.

It is an arithmetic number, because the mean of its divisors is an integer number (252665859600).

Almost surely, 2^{381900064605696} is an apocalyptic number.

381900064605696 is a gapful number since it is divisible by the number (36) 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 381900064605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808530750720000).

381900064605696 is an abundant number, since it is smaller than the sum of its proper divisors (1235161436834304).

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

381900064605696 is a wasteful number, since it uses less digits than its factorization.

381900064605696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 381900064605696 in words is "three hundred eighty-one trillion, nine hundred billion, sixty-four million, six hundred five thousand, six hundred ninety-six".