380146768001 has 64 divisors (see below), whose sum is σ = 531588427776. Its totient is φ = 262293292800.

The previous prime is 380146767997. The next prime is 380146768003. The reversal of 380146768001 is 100867641083.

It is not a de Polignac number, because 380146768001 - 2² = 380146767997 is a prime.

It is a super-2 number, since 2×380146768001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380146768003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2557346 + ... + 2701908.

It is an arithmetic number, because the mean of its divisors is an integer number (8306069184).

Almost surely, 2^380146768001 is an apocalyptic number.

It is an amenable number.

380146768001 is a deficient number, since it is larger than the sum of its proper divisors (151441659775).

380146768001 is a wasteful number, since it uses less digits than its factorization.

380146768001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144702.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 380146768001 in words is "three hundred eighty billion, one hundred forty-six million, seven hundred sixty-eight thousand, one".