381098186763840 has 1792 divisors, whose sum is σ = 1801834417152000. Its totient is φ = 73548727418880.

The previous prime is 381098186763797. The next prime is 381098186763863. The reversal of 381098186763840 is 48367681890183.

381098186763840 is a `hidden beast` number, since 3 + 8 + 10 + 98 + 1 + 86 + 76 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 432778395 + ... + 433658085.

It is an arithmetic number, because the mean of its divisors is an integer number (1005487956000).

Almost surely, 2^{381098186763840} is an apocalyptic number.

381098186763840 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 381098186763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900917208576000).

381098186763840 is an abundant number, since it is smaller than the sum of its proper divisors (1420736230388160).

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

381098186763840 is a wasteful number, since it uses less digits than its factorization.

381098186763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879785 (or 879769 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 381098186763840 in words is "three hundred eighty-one trillion, ninety-eight billion, one hundred eighty-six million, seven hundred sixty-three thousand, eight hundred forty".