30958457661056 has 64 divisors (see below), whose sum is σ = 65328547281480. Its totient is φ = 14562985771008.

The previous prime is 30958457661049. The next prime is 30958457661059. The reversal of 30958457661056 is 65016675485903.

It can be written as a sum of positive squares in 4 ways, for example, as 30675203790400 + 283253870656 = 5538520^2 + 532216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×30958457661056² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30958457660983 and 30958457661001.

It is not an unprimeable number, because it can be changed into a prime (30958457661059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782016 + ... + 8346048.

Almost surely, 2^{30958457661056} is an apocalyptic number.

It is a pronic number, being equal to 5564032×5564033.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30958457661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32664273640740).

30958457661056 is an abundant number, since it is smaller than the sum of its proper divisors (34370089620424).

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

30958457661056 is a wasteful number, since it uses less digits than its factorization.

30958457661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566621 (or 5566609 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 65.

The spelling of 30958457661056 in words is "thirty trillion, nine hundred fifty-eight billion, four hundred fifty-seven million, six hundred sixty-one thousand, fifty-six".