381598145660160 has 576 divisors, whose sum is σ = 1590881800354560. Its totient is φ = 85392590929920.

The previous prime is 381598145660153. The next prime is 381598145660197. The reversal of 381598145660160 is 61066541895183.

381598145660160 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 9 + 8 + 1 + 4 + 566 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×381598145660160² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33664959 + ... + 43549118.

It is an arithmetic number, because the mean of its divisors is an integer number (2761947570060).

Almost surely, 2^{381598145660160} is an apocalyptic number.

381598145660160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381598145660160 is an abundant number, since it is smaller than the sum of its proper divisors (1209283654694400).

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

381598145660160 is a wasteful number, since it uses less digits than its factorization.

381598145660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77214131 (or 77214111 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 381598145660160 in words is "three hundred eighty-one trillion, five hundred ninety-eight billion, one hundred forty-five million, six hundred sixty thousand, one hundred sixty".