381662648280 has 512 divisors, whose sum is σ = 1332059904000. Its totient is φ = 97124106240.

The previous prime is 381662648249. The next prime is 381662648291. The reversal of 381662648280 is 82846266183.

381662648280 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 626 + 4 + 8 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 415301661 + ... + 415302579.

It is an arithmetic number, because the mean of its divisors is an integer number (2601679500).

Almost surely, 2^381662648280 is an apocalyptic number.

381662648280 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 381662648280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666029952000).

381662648280 is an abundant number, since it is smaller than the sum of its proper divisors (950397255720).

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

381662648280 is a wasteful number, since it uses less digits than its factorization.

381662648280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 381662648280 in words is "three hundred eighty-one billion, six hundred sixty-two million, six hundred forty-eight thousand, two hundred eighty".