30845491908000 has 3072 divisors, whose sum is σ = 136688314613760. Its totient is φ = 5893171200000.

The previous prime is 30845491907957. The next prime is 30845491908037. The reversal of 30845491908000 is 80919454803.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 58977995739 + ... + 58977996261.

It is an arithmetic number, because the mean of its divisors is an integer number (44494894080).

Almost surely, 2^{30845491908000} is an apocalyptic number.

30845491908000 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 30845491908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68344157306880).

30845491908000 is an abundant number, since it is smaller than the sum of its proper divisors (105842822705760).

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

30845491908000 is a wasteful number, since it uses less digits than its factorization.

30845491908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 30845491908000 in words is "thirty trillion, eight hundred forty-five billion, four hundred ninety-one million, nine hundred eight thousand".