61430613904 has 135 divisors (see below), whose sum is σ = 134969080827. Its totient is φ = 27065438400.

The previous prime is 61430613889. The next prime is 61430613929. The reversal of 61430613904 is 40931603416.

The square root of 61430613904 is 247852.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 468935919 + ... + 468936049.

Almost surely, 2^61430613904 is an apocalyptic number.

61430613904 is the 247852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61430613904

61430613904 is an abundant number, since it is smaller than the sum of its proper divisors (73538466923).

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

61430613904 is a wasteful number, since it uses less digits than its factorization.

61430613904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 61430613904 in words is "sixty-one billion, four hundred thirty million, six hundred thirteen thousand, nine hundred four".