20194707456 has 1152 divisors, whose sum is σ = 82423111680. Its totient is φ = 4777574400.

The previous prime is 20194707451. The next prime is 20194707509. The reversal of 20194707456 is 65470749102.

20194707456 is a `hidden beast` number, since 2 + 0 + 194 + 7 + 0 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (20194707451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 651442161 + ... + 651442191.

It is an arithmetic number, because the mean of its divisors is an integer number (71547840).

Almost surely, 2^20194707456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20194707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41211555840).

20194707456 is an abundant number, since it is smaller than the sum of its proper divisors (62228404224).

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

20194707456 is a wasteful number, since it uses less digits than its factorization.

20194707456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 20194707456 in words is "twenty billion, one hundred ninety-four million, seven hundred seven thousand, four hundred fifty-six".