30218167745472 has 336 divisors, whose sum is σ = 95211465233280. Its totient is φ = 8429177530368.

The previous prime is 30218167745413. The next prime is 30218167745509. The reversal of 30218167745472 is 27454776181203.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966439983 + ... + 966471249.

Almost surely, 2^{30218167745472} is an apocalyptic number.

30218167745472 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 30218167745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47605732616640).

30218167745472 is an abundant number, since it is smaller than the sum of its proper divisors (64993297487808).

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

30218167745472 is a wasteful number, since it uses less digits than its factorization.

30218167745472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33728 (or 33711 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 30218167745472 in words is "thirty trillion, two hundred eighteen billion, one hundred sixty-seven million, seven hundred forty-five thousand, four hundred seventy-two".