30487609152 has 1344 divisors, whose sum is σ = 129941360640. Its totient is φ = 6623907840.

The previous prime is 30487609151. The next prime is 30487609157. The reversal of 30487609152 is 25190678403.

30487609152 is a `hidden beast` number, since 30 + 4 + 8 + 7 + 609 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×30487609152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30487609098 and 30487609107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30487609151) 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 191 ways as a sum of consecutive naturals, for example, 1325548213 + ... + 1325548235.

It is an arithmetic number, because the mean of its divisors is an integer number (96682560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅30487609152 = 60975218304, but 3⋅30487609152 = 91462827456 is not.

Almost surely, 2^30487609152 is an apocalyptic number.

30487609152 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 30487609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64970680320).

30487609152 is an abundant number, since it is smaller than the sum of its proper divisors (99453751488).

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

30487609152 is a wasteful number, since it uses less digits than its factorization.

30487609152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30487609152 in words is "thirty billion, four hundred eighty-seven million, six hundred nine thousand, one hundred fifty-two".