381873945600 has 792 divisors, whose sum is σ = 1579372642848. Its totient is φ = 86350233600.

The previous prime is 381873945599. The next prime is 381873945659. The reversal of 381873945600 is 6549378183.

381873945600 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 73 + 9 + 4 + 560 + 0 = 666.

It is a super-2 number, since 2×381873945600² (a number of 24 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 156440380 + ... + 156442820.

Almost surely, 2^381873945600 is an apocalyptic number.

381873945600 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 381873945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789686321424).

381873945600 is an abundant number, since it is smaller than the sum of its proper divisors (1197498697248).

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

381873945600 is a wasteful number, since it uses less digits than its factorization.

381873945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2555 counting only the distinct ones).

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

The spelling of 381873945600 in words is "three hundred eighty-one billion, eight hundred seventy-three million, nine hundred forty-five thousand, six hundred".