213603630925608 has 432 divisors, whose sum is σ = 739766509421940. Its totient is φ = 55476496373760.

The previous prime is 213603630925571. The next prime is 213603630925669. The reversal of 213603630925608 is 806529036306312.

213603630925608 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 0 + 3 + 6 + 3 + 0 + 9 + 25 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119394127804644 + 94209503120964 = 10926762^2 + 9706158^2 .

It is a super-2 number, since 2×213603630925608² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9099959760 + ... + 9099983232.

Almost surely, 2^{213603630925608} is an apocalyptic number.

213603630925608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213603630925608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369883254710970).

213603630925608 is an abundant number, since it is smaller than the sum of its proper divisors (526162878496332).

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

213603630925608 is a wasteful number, since it uses less digits than its factorization.

213603630925608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44838 (or 44813 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 213603630925608 in words is "two hundred thirteen trillion, six hundred three billion, six hundred thirty million, nine hundred twenty-five thousand, six hundred eight".