30331478016 has 168 divisors, whose sum is σ = 100137614304. Its totient is φ = 8665989120.

The previous prime is 30331477991. The next prime is 30331478033. The reversal of 30331478016 is 61087413303.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486711 + ... + 545481.

It is an arithmetic number, because the mean of its divisors is an integer number (596057228).

Almost surely, 2^30331478016 is an apocalyptic number.

30331478016 is a gapful number since it is divisible by the number (36) 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 30331478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50068807152).

30331478016 is an abundant number, since it is smaller than the sum of its proper divisors (69806136288).

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

30331478016 is an equidigital number, since it uses as much as digits as its factorization.

30331478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58810 (or 58783 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30331478016 in words is "thirty billion, three hundred thirty-one million, four hundred seventy-eight thousand, sixteen".