30946578974064 has 640 divisors, whose sum is σ = 100582962278400. Its totient is φ = 9161098195968.

The previous prime is 30946578974057. The next prime is 30946578974119. The reversal of 30946578974064 is 46047987564903.

It is a happy number.

30946578974064 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 6 + 578 + 9 + 7 + 40 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 30946578973983 and 30946578974001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1261414342 + ... + 1261438874.

It is an arithmetic number, because the mean of its divisors is an integer number (157160878560).

Almost surely, 2^{30946578974064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30946578974064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50291481139200).

30946578974064 is an abundant number, since it is smaller than the sum of its proper divisors (69636383304336).

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

30946578974064 is a wasteful number, since it uses less digits than its factorization.

30946578974064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24681 (or 24657 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 30946578974064 in words is "thirty trillion, nine hundred forty-six billion, five hundred seventy-eight million, nine hundred seventy-four thousand, sixty-four".