376857248769 has 27 divisors (see below), whose sum is σ = 578301515337. Its totient is φ = 236439805824.

The previous prime is 376857248749. The next prime is 376857248821. The reversal of 376857248769 is 967842758673.

The square root of 376857248769 is 613887.

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

376857248769 is a `hidden beast` number, since 3 + 7 + 6 + 8 + 572 + 48 + 7 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57066998769 + 319790250000 = 238887^2 + 565500^2 .

It is not a de Polignac number, because 376857248769 - 2⁵ = 376857248737 is a prime.

It is a super-2 number, since 2×376857248769² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 376857248697 and 376857248706.

It is not an unprimeable number, because it can be changed into a prime (376857248749) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31302219 + ... + 31314255.

Almost surely, 2^376857248769 is an apocalyptic number.

376857248769 is the 613887-th square number.

376857248769 is the 306944-th centered octagonal number.

It is an amenable number.

376857248769 is a deficient number, since it is larger than the sum of its proper divisors (201444266568).

376857248769 is an frugal number, since it uses more digits than its factorization.

376857248769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24114 (or 12057 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 376857248769 in words is "three hundred seventy-six billion, eight hundred fifty-seven million, two hundred forty-eight thousand, seven hundred sixty-nine".