30545445631050 has 1152 divisors, whose sum is σ = 103617343065600. Its totient is φ = 6681027225600.

The previous prime is 30545445631039. The next prime is 30545445631069. The reversal of 30545445631050 is 5013654454503.

It is a happy number.

30545445631050 is a `hidden beast` number, since 3 + 0 + 5 + 4 + 5 + 4 + 4 + 5 + 631 + 0 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 30545445630987 and 30545445631005.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9055867164 + ... + 9055870536.

It is an arithmetic number, because the mean of its divisors is an integer number (89945610300).

Almost surely, 2^{30545445631050} is an apocalyptic number.

30545445631050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30545445631050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51808671532800).

30545445631050 is an abundant number, since it is smaller than the sum of its proper divisors (73071897434550).

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

30545445631050 is a wasteful number, since it uses less digits than its factorization.

30545445631050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 30545445631050 in words is "thirty trillion, five hundred forty-five billion, four hundred forty-five million, six hundred thirty-one thousand, fifty".