381109506624 has 1344 divisors, whose sum is σ = 1523595225600. Its totient is φ = 91408711680.

The previous prime is 381109506619. The next prime is 381109506647. The reversal of 381109506624 is 426605901183.

381109506624 is a `hidden beast` number, since 3 + 8 + 1 + 10 + 9 + 5 + 0 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 381109506624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7190745382 + ... + 7190745434.

It is an arithmetic number, because the mean of its divisors is an integer number (1133627400).

Almost surely, 2^381109506624 is an apocalyptic number.

381109506624 is a gapful number since it is divisible by the number (34) 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 381109506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761797612800).

381109506624 is an abundant number, since it is smaller than the sum of its proper divisors (1142485718976).

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

381109506624 is a wasteful number, since it uses less digits than its factorization.

381109506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 381109506624 in words is "three hundred eighty-one billion, one hundred nine million, five hundred six thousand, six hundred twenty-four".