381341771136 has 192 divisors, whose sum is σ = 1133551785600. Its totient is φ = 122926325760.

The previous prime is 381341771101. The next prime is 381341771141. The reversal of 381341771136 is 631177143183.

381341771136 is a `hidden beast` number, since 38 + 1 + 3 + 417 + 71 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×381341771136³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 381341771091 and 381341771100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67028580 + ... + 67034268.

It is an arithmetic number, because the mean of its divisors is an integer number (5903915550).

Almost surely, 2^381341771136 is an apocalyptic number.

381341771136 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 381341771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566775892800).

381341771136 is an abundant number, since it is smaller than the sum of its proper divisors (752210014464).

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

381341771136 is a wasteful number, since it uses less digits than its factorization.

381341771136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617 (or 7602 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 381341771136 in words is "three hundred eighty-one billion, three hundred forty-one million, seven hundred seventy-one thousand, one hundred thirty-six".