30045146520 has 128 divisors (see below), whose sum is σ = 96046430400. Its totient is φ = 7492632576.

The previous prime is 30045146507. The next prime is 30045146531. The reversal of 30045146520 is 2564154003.

It is a super-2 number, since 2×30045146520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273376 + ... + 367184.

Almost surely, 2^30045146520 is an apocalyptic number.

30045146520 is a gapful number since it is divisible by the number (30) 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 30045146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48023215200).

30045146520 is an abundant number, since it is smaller than the sum of its proper divisors (66001283880).

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

30045146520 is a wasteful number, since it uses less digits than its factorization.

30045146520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93997 (or 93993 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 30045146520 in words is "thirty billion, forty-five million, one hundred forty-six thousand, five hundred twenty".