381468590370 has 512 divisors, whose sum is σ = 1245791232000. Its totient is φ = 82143300096.

The previous prime is 381468590357. The next prime is 381468590429. The reversal of 381468590370 is 73095864183.

381468590370 is a `hidden beast` number, since 3 + 8 + 1 + 46 + 8 + 590 + 3 + 7 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 910426021 + ... + 910426439.

It is an arithmetic number, because the mean of its divisors is an integer number (2433186000).

Almost surely, 2^381468590370 is an apocalyptic number.

381468590370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381468590370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622895616000).

381468590370 is an abundant number, since it is smaller than the sum of its proper divisors (864322641630).

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

381468590370 is a wasteful number, since it uses less digits than its factorization.

381468590370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 381468590370 in words is "three hundred eighty-one billion, four hundred sixty-eight million, five hundred ninety thousand, three hundred seventy".