306875138693904 has 675 divisors, whose sum is σ = 1009486109152983. Its totient is φ = 89929645027200.

The previous prime is 306875138693897. The next prime is 306875138693957. The reversal of 306875138693904 is 409396831578603.

The square root of 306875138693904 is 17517852.

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

306875138693904 is a `hidden beast` number, since 3 + 0 + 6 + 8 + 75 + 1 + 386 + 93 + 90 + 4 = 666.

It is a super-2 number, since 2×306875138693904² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 215049150439 + ... + 215049151865.

Almost surely, 2^{306875138693904} is an apocalyptic number.

306875138693904 is the 17517852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306875138693904

306875138693904 is an abundant number, since it is smaller than the sum of its proper divisors (702610970459079).

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

306875138693904 is an equidigital number, since it uses as much as digits as its factorization.

306875138693904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 306875138693904 in words is "three hundred six trillion, eight hundred seventy-five billion, one hundred thirty-eight million, six hundred ninety-three thousand, nine hundred four".