30309697152 has 448 divisors, whose sum is σ = 105688728000. Its totient is φ = 8650768896.

The previous prime is 30309697147. The next prime is 30309697181. The reversal of 30309697152 is 25179690303.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×30309697152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30309697098 and 30309697107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32005543 + ... + 32006489.

Almost surely, 2^30309697152 is an apocalyptic number.

30309697152 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 30309697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52844364000).

30309697152 is an abundant number, since it is smaller than the sum of its proper divisors (75379030848).

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

30309697152 is an frugal number, since it uses more digits than its factorization.

30309697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 30309697152 in words is "thirty billion, three hundred nine million, six hundred ninety-seven thousand, one hundred fifty-two".