406173375648 has 72 divisors (see below), whose sum is σ = 1155135208500. Its totient is φ = 135381786624.

The previous prime is 406173375617. The next prime is 406173375661. The reversal of 406173375648 is 846573371604.

It is a happy number.

406173375648 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 73 + 3 + 7 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 325296841104 + 80876534544 = 570348^2 + 284388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×406173375648² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406173375594 and 406173375603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5066178 + ... + 5145726.

Almost surely, 2^406173375648 is an apocalyptic number.

406173375648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406173375648 is an abundant number, since it is smaller than the sum of its proper divisors (748961832852).

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

406173375648 is a wasteful number, since it uses less digits than its factorization.

406173375648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97294 (or 97283 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 406173375648 in words is "four hundred six billion, one hundred seventy-three million, three hundred seventy-five thousand, six hundred forty-eight".