30181417984 has 99 divisors (see below), whose sum is σ = 62035589811. Its totient is φ = 14676541440.

The previous prime is 30181417969. The next prime is 30181417991. The reversal of 30181417984 is 48971418103.

It is a happy number.

The square root of 30181417984 is 173728.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19564176384 + 10617241600 = 139872^2 + 103040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 339117012 + ... + 339117100.

Almost surely, 2^30181417984 is an apocalyptic number.

30181417984 is the 173728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30181417984

30181417984 is an abundant number, since it is smaller than the sum of its proper divisors (31854171827).

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

30181417984 is an frugal number, since it uses more digits than its factorization.

30181417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 30181417984 in words is "thirty billion, one hundred eighty-one million, four hundred seventeen thousand, nine hundred eighty-four".