30369181158976 has 105 divisors (see below), whose sum is σ = 66301462775905. Its totient is φ = 13801748491520.

The previous prime is 30369181158973. The next prime is 30369181158983. The reversal of 30369181158976 is 67985118196303.

The square root of 30369181158976 is 5510824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3729378945600 + 26639802213376 = 1931160^2 + 5161376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30369181158973) 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 14 ways as a sum of consecutive naturals, for example, 5334474786 + ... + 5334480478.

Almost surely, 2^{30369181158976} is an apocalyptic number.

30369181158976 is the 5510824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30369181158976

30369181158976 is an abundant number, since it is smaller than the sum of its proper divisors (35932281616929).

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

30369181158976 is an frugal number, since it uses more digits than its factorization.

30369181158976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11442 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 67.

The spelling of 30369181158976 in words is "thirty trillion, three hundred sixty-nine billion, one hundred eighty-one million, one hundred fifty-eight thousand, nine hundred seventy-six".