30608113536 has 1152 divisors, whose sum is σ = 126413414400. Its totient is φ = 6897623040.

The previous prime is 30608113511. The next prime is 30608113559. The reversal of 30608113536 is 63531180603.

It is a happy number.

30608113536 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 8 + 113 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×30608113536² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30608113536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241008705 + ... + 241008831.

Almost surely, 2^30608113536 is an apocalyptic number.

30608113536 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 30608113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63206707200).

30608113536 is an abundant number, since it is smaller than the sum of its proper divisors (95805300864).

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

30608113536 is a wasteful number, since it uses less digits than its factorization.

30608113536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 30608113536 in words is "thirty billion, six hundred eight million, one hundred thirteen thousand, five hundred thirty-six".