845217292480 has 168 divisors, whose sum is σ = 2213226378720. Its totient is φ = 307219968000.

The previous prime is 845217292457. The next prime is 845217292523. The reversal of 845217292480 is 84292712548.

It is a super-3 number, since 3×845217292480³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170714005 + ... + 170718955.

It is an arithmetic number, because the mean of its divisors is an integer number (13173966540).

Almost surely, 2^845217292480 is an apocalyptic number.

845217292480 is a gapful number since it is divisible by the number (80) 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 845217292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106613189360).

845217292480 is an abundant number, since it is smaller than the sum of its proper divisors (1368009086240).

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

845217292480 is a wasteful number, since it uses less digits than its factorization.

845217292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9399 (or 9378 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 845217292480 in words is "eight hundred forty-five billion, two hundred seventeen million, two hundred ninety-two thousand, four hundred eighty".