387201286233216 has 1280 divisors, whose sum is σ = 1449697660320000. Its totient is φ = 101124671864832.

The previous prime is 387201286233211. The next prime is 387201286233341. The reversal of 387201286233216 is 612332682102783.

387201286233216 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 0 + 1 + 2 + 8 + 623 + 3 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (387201286233211) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 11110811760 + ... + 11110846608.

It is an arithmetic number, because the mean of its divisors is an integer number (1132576297125).

Almost surely, 2^{387201286233216} is an apocalyptic number.

387201286233216 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 387201286233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724848830160000).

387201286233216 is an abundant number, since it is smaller than the sum of its proper divisors (1062496374086784).

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

387201286233216 is a wasteful number, since it uses less digits than its factorization.

387201286233216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35016 (or 34977 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 387201286233216 in words is "three hundred eighty-seven trillion, two hundred one billion, two hundred eighty-six million, two hundred thirty-three thousand, two hundred sixteen".