381601980545976 has 160 divisors (see below), whose sum is σ = 1126557574005600. Its totient is φ = 120497176800000.

The previous prime is 381601980545969. The next prime is 381601980545977. The reversal of 381601980545976 is 679545089106183.

381601980545976 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 0 + 1 + 9 + 8 + 0 + 545 + 9 + 76 = 666.

It is a super-2 number, since 2×381601980545976² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381601980545977) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190575900 + ... + 192567851.

It is an arithmetic number, because the mean of its divisors is an integer number (7040984837535).

Almost surely, 2^{381601980545976} is an apocalyptic number.

381601980545976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381601980545976 is an abundant number, since it is smaller than the sum of its proper divisors (744955593459624).

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

381601980545976 is a wasteful number, since it uses less digits than its factorization.

381601980545976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383143851 (or 383143838 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 381601980545976 in words is "three hundred eighty-one trillion, six hundred one billion, nine hundred eighty million, five hundred forty-five thousand, nine hundred seventy-six".