930677537112064 has 465 divisors, whose sum is σ = 2291753745889107. Its totient is φ = 377869075218432.

The previous prime is 930677537112049. The next prime is 930677537112091. The reversal of 930677537112064 is 460211735776039.

It is a happy number.

The square root of 930677537112064 is 30507008.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 930677537111993 and 930677537112011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48983028269047 + ... + 48983028269065.

Almost surely, 2^{930677537112064} is an apocalyptic number.

930677537112064 is the 30507008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930677537112064

930677537112064 is an abundant number, since it is smaller than the sum of its proper divisors (1361076208777043).

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

930677537112064 is an frugal number, since it uses more digits than its factorization.

930677537112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 61.

The spelling of 930677537112064 in words is "nine hundred thirty trillion, six hundred seventy-seven billion, five hundred thirty-seven million, one hundred twelve thousand, sixty-four".