845130908160 has 1920 divisors, whose sum is σ = 3827905855488. Its totient is φ = 168608563200.

The previous prime is 845130908119. The next prime is 845130908177. The reversal of 845130908160 is 61809031548.

845130908160 is a `hidden beast` number, since 8 + 451 + 30 + 9 + 0 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 6654574017 + ... + 6654574143.

Almost surely, 2^845130908160 is an apocalyptic number.

845130908160 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 845130908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913952927744).

845130908160 is an abundant number, since it is smaller than the sum of its proper divisors (2982774947328).

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

845130908160 is a wasteful number, since it uses less digits than its factorization.

845130908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 845130908160 in words is "eight hundred forty-five billion, one hundred thirty million, nine hundred eight thousand, one hundred sixty".