415336900193856 has 147 divisors (see below), whose sum is σ = 1235724055017483. Its totient is φ = 138444166051200.

The previous prime is 415336900193819. The next prime is 415336900193869. The reversal of 415336900193856 is 658391009633514.

The square root of 415336900193856 is 20379816.

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

415336900193856 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 369 + 0 + 0 + 193 + 85 + 6 = 666.

It is a super-2 number, since 2×415336900193856² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415336900193793 and 415336900193802.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4401993081 + ... + 4402087431.

Almost surely, 2^{415336900193856} is an apocalyptic number.

415336900193856 is the 20379816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415336900193856

415336900193856 is an abundant number, since it is smaller than the sum of its proper divisors (820387154823627).

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

415336900193856 is an frugal number, since it uses more digits than its factorization.

415336900193856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188732 (or 94356 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 415336900193856 in words is "four hundred fifteen trillion, three hundred thirty-six billion, nine hundred million, one hundred ninety-three thousand, eight hundred fifty-six".