30661654067460 has 144 divisors (see below), whose sum is σ = 101133844890624. Its totient is φ = 7474207474944.

The previous prime is 30661654067431. The next prime is 30661654067461. The reversal of 30661654067460 is 6476045616603.

30661654067460 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 165 + 406 + 74 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30661654067397 and 30661654067406.

It is not an unprimeable number, because it can be changed into a prime (30661654067461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63367092 + ... + 63849131.

It is an arithmetic number, because the mean of its divisors is an integer number (702318367296).

Almost surely, 2^{30661654067460} is an apocalyptic number.

30661654067460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30661654067460 is an abundant number, since it is smaller than the sum of its proper divisors (70472190823164).

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

30661654067460 is a wasteful number, since it uses less digits than its factorization.

30661654067460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127216354 (or 127216349 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 30661654067460 in words is "thirty trillion, six hundred sixty-one billion, six hundred fifty-four million, sixty-seven thousand, four hundred sixty".