30915585671104 has 112 divisors (see below), whose sum is σ = 62532187660800. Its totient is φ = 15162294118400.

The previous prime is 30915585671101. The next prime is 30915585671111. The reversal of 30915585671104 is 40117658551903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30915585671101) 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 15 ways as a sum of consecutive naturals, for example, 3142142217 + ... + 3142152055.

Almost surely, 2^{30915585671104} 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 30915585671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31266093830400).

30915585671104 is an abundant number, since it is smaller than the sum of its proper divisors (31616601989696).

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

30915585671104 is a wasteful number, since it uses less digits than its factorization.

30915585671104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282 (or 14272 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 55.

The spelling of 30915585671104 in words is "thirty trillion, nine hundred fifteen billion, five hundred eighty-five million, six hundred seventy-one thousand, one hundred four".