381511898880 has 864 divisors, whose sum is σ = 1479744806400. Its totient is φ = 83423821824.

The previous prime is 381511898839. The next prime is 381511898881. The reversal of 381511898880 is 88898115183.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381511898881) 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 95 ways as a sum of consecutive naturals, for example, 758472709 + ... + 758473211.

It is an arithmetic number, because the mean of its divisors is an integer number (1712667600).

Almost surely, 2^381511898880 is an apocalyptic number.

381511898880 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 381511898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739872403200).

381511898880 is an abundant number, since it is smaller than the sum of its proper divisors (1098232907520).

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

381511898880 is a wasteful number, since it uses less digits than its factorization.

381511898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 60.

The spelling of 381511898880 in words is "three hundred eighty-one billion, five hundred eleven million, eight hundred ninety-eight thousand, eight hundred eighty".