381368002500 has 405 divisors, whose sum is σ = 1266358216123. Its totient is φ = 96733032000.

The previous prime is 381368002481. The next prime is 381368002529. The reversal of 381368002500 is 5200863183.

The square root of 381368002500 is 617550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 29899251396 + 351468751104 = 172914^2 + 592848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2130547411 + ... + 2130547589.

Almost surely, 2^381368002500 is an apocalyptic number.

381368002500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

381368002500 is the 617550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381368002500

381368002500 is an abundant number, since it is smaller than the sum of its proper divisors (884990213623).

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

381368002500 is a wasteful number, since it uses less digits than its factorization.

381368002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 381368002500 by its sum of digits (36), we get a square (13729248090000 = 3705300²).

381368002500 divided by its sum of digits (36) gives a square (10593555625 = 102925²).

Adding to 381368002500 its reverse (5200863183), we get a palindrome (386568865683).

The spelling of 381368002500 in words is "three hundred eighty-one billion, three hundred sixty-eight million, two thousand, five hundred".