30145538016 has 480 divisors, whose sum is σ = 102672662400. Its totient is φ = 8616430080.

The previous prime is 30145537991. The next prime is 30145538039. The reversal of 30145538016 is 61083554103.

30145538016 is a `hidden beast` number, since 3 + 0 + 14 + 553 + 80 + 16 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131639790 + ... + 131640018.

It is an arithmetic number, because the mean of its divisors is an integer number (213901380).

Almost surely, 2^30145538016 is an apocalyptic number.

30145538016 is a gapful number since it is divisible by the number (36) 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 30145538016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51336331200).

30145538016 is an abundant number, since it is smaller than the sum of its proper divisors (72527124384).

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

30145538016 is an equidigital number, since it uses as much as digits as its factorization.

30145538016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 30145538016 in words is "thirty billion, one hundred forty-five million, five hundred thirty-eight thousand, sixteen".