381616963200 has 1152 divisors, whose sum is σ = 1551310084800. Its totient is φ = 91542528000.

The previous prime is 381616963193. The next prime is 381616963201. The reversal of 381616963200 is 2369616183.

381616963200 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 1 + 6 + 9 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (381616963201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1808611095 + ... + 1808611305.

Almost surely, 2^381616963200 is an apocalyptic number.

381616963200 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 381616963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775655042400).

381616963200 is an abundant number, since it is smaller than the sum of its proper divisors (1169693121600).

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

381616963200 is a wasteful number, since it uses less digits than its factorization.

381616963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 381616963200 in words is "three hundred eighty-one billion, six hundred sixteen million, nine hundred sixty-three thousand, two hundred".