30983316480 has 352 divisors, whose sum is σ = 111508769280. Its totient is φ = 8259231744.

The previous prime is 30983316461. The next prime is 30983316509. The reversal of 30983316480 is 8461338903.

30983316480 is a `hidden beast` number, since 309 + 8 + 331 + 6 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11196057 + ... + 11198823.

Almost surely, 2^30983316480 is an apocalyptic number.

30983316480 is a gapful number since it is divisible by the number (30) 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 30983316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55754384640).

30983316480 is an abundant number, since it is smaller than the sum of its proper divisors (80525452800).

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

30983316480 is an frugal number, since it uses more digits than its factorization.

30983316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 30983316480 in words is "thirty billion, nine hundred eighty-three million, three hundred sixteen thousand, four hundred eighty".