380295455761 has 45 divisors (see below), whose sum is σ = 427077168773. Its totient is φ = 338631870720.

The previous prime is 380295455753. The next prime is 380295455767. The reversal of 380295455761 is 167554592083.

The square root of 380295455761 is 616681.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 4281215761 + 376014240000 = 65431^2 + 613200^2 .

It is not a de Polignac number, because 380295455761 - 2³ = 380295455753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (380295455767) 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 44 ways as a sum of consecutive naturals, for example, 4272982605 + ... + 4272982693.

It is a 1-persistent number, because it is pandigital, but 2⋅380295455761 = 760590911522 is not.

Almost surely, 2^380295455761 is an apocalyptic number.

380295455761 is the 616681-st square number.

380295455761 is the 308341-st centered octagonal number.

It is an amenable number.

380295455761 is a deficient number, since it is larger than the sum of its proper divisors (46781713012).

380295455761 is an frugal number, since it uses more digits than its factorization.

380295455761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 380295455761 in words is "three hundred eighty billion, two hundred ninety-five million, four hundred fifty-five thousand, seven hundred sixty-one".