381616692912 has 240 divisors, whose sum is σ = 1334079335680. Its totient is φ = 99143751168.

The previous prime is 381616692911. The next prime is 381616692949. The reversal of 381616692912 is 219296616183.

381616692912 is a `hidden beast` number, since 3 + 8 + 1 + 616 + 6 + 9 + 2 + 9 + 12 = 666.

It is a super-2 number, since 2×381616692912² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (381616692911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660639 + ... + 1095297.

Almost surely, 2^381616692912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381616692912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667039667840).

381616692912 is an abundant number, since it is smaller than the sum of its proper divisors (952462642768).

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

381616692912 is a wasteful number, since it uses less digits than its factorization.

381616692912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434760 (or 434751 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 381616692912 in words is "three hundred eighty-one billion, six hundred sixteen million, six hundred ninety-two thousand, nine hundred twelve".