94205220480 has 1536 divisors, whose sum is σ = 415705651200. Its totient is φ = 20065812480.

The previous prime is 94205220479. The next prime is 94205220509. The reversal of 94205220480 is 8402250249.

94205220480 is a `hidden beast` number, since 9 + 420 + 5 + 220 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×94205220480² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971187792 + ... + 971187888.

It is an arithmetic number, because the mean of its divisors is an integer number (270641700).

Almost surely, 2^94205220480 is an apocalyptic number.

94205220480 is a gapful number since it is divisible by the number (90) 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 94205220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207852825600).

94205220480 is an abundant number, since it is smaller than the sum of its proper divisors (321500430720).

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

94205220480 is a wasteful number, since it uses less digits than its factorization.

94205220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 94205220480 in words is "ninety-four billion, two hundred five million, two hundred twenty thousand, four hundred eighty".