381819103776 has 672 divisors, whose sum is σ = 1313631406080. Its totient is φ = 107971315200.

The previous prime is 381819103751. The next prime is 381819103819. The reversal of 381819103776 is 677301918183.

381819103776 is a `hidden beast` number, since 3 + 8 + 181 + 91 + 0 + 377 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 346163641 + ... + 346164743.

It is an arithmetic number, because the mean of its divisors is an integer number (1954808640).

Almost surely, 2^381819103776 is an apocalyptic number.

381819103776 is a gapful number since it is divisible by the number (36) 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 381819103776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656815703040).

381819103776 is an abundant number, since it is smaller than the sum of its proper divisors (931812302304).

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

381819103776 is a wasteful number, since it uses less digits than its factorization.

381819103776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 381819103776 in words is "three hundred eighty-one billion, eight hundred nineteen million, one hundred three thousand, seven hundred seventy-six".