381292473600 has 324 divisors, whose sum is σ = 1364290474092. Its totient is φ = 101597184000.

The previous prime is 381292473581. The next prime is 381292473673. The reversal of 381292473600 is 6374292183.

381292473600 is a `hidden beast` number, since 3 + 8 + 12 + 9 + 24 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 74358745344 + 306933728256 = 272688^2 + 554016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119864010 + ... + 119867190.

Almost surely, 2^381292473600 is an apocalyptic number.

381292473600 is a gapful number since it is divisible by the number (30) 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 381292473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682145237046).

381292473600 is an abundant number, since it is smaller than the sum of its proper divisors (982998000492).

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

381292473600 is a wasteful number, since it uses less digits than its factorization.

381292473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 381292473600 in words is "three hundred eighty-one billion, two hundred ninety-two million, four hundred seventy-three thousand, six hundred".