30545006320512 has 192 divisors, whose sum is σ = 89039872350000. Its totient is φ = 10049617797120.

The previous prime is 30545006320189. The next prime is 30545006320537. The reversal of 30545006320512 is 21502360054503.

30545006320512 is a `hidden beast` number, since 3 + 0 + 5 + 4 + 5 + 0 + 0 + 632 + 0 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×30545006320512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 58282614 + ... + 58804362.

Almost surely, 2^{30545006320512} is an apocalyptic number.

30545006320512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30545006320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44519936175000).

30545006320512 is an abundant number, since it is smaller than the sum of its proper divisors (58494866029488).

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

30545006320512 is a wasteful number, since it uses less digits than its factorization.

30545006320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522429 (or 522414 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 30545006320512 in words is "thirty trillion, five hundred forty-five billion, six million, three hundred twenty thousand, five hundred twelve".