30734581136652 has 288 divisors, whose sum is σ = 85169976353280. Its totient is φ = 9664301445120.

The previous prime is 30734581136641. The next prime is 30734581136653. The reversal of 30734581136652 is 25663118543703.

30734581136652 is a `hidden beast` number, since 3 + 0 + 7 + 3 + 4 + 581 + 1 + 3 + 6 + 6 + 52 = 666.

It is a super-2 number, since 2×30734581136652² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30734581136653) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6989895718 + ... + 6989900114.

It is an arithmetic number, because the mean of its divisors is an integer number (295729084560).

Almost surely, 2^{30734581136652} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30734581136652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42584988176640).

30734581136652 is an abundant number, since it is smaller than the sum of its proper divisors (54435395216628).

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

30734581136652 is a wasteful number, since it uses less digits than its factorization.

30734581136652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 30734581136652 in words is "thirty trillion, seven hundred thirty-four billion, five hundred eighty-one million, one hundred thirty-six thousand, six hundred fifty-two".