19745946000 has 480 divisors, whose sum is σ = 77686742016. Its totient is φ = 4631040000.

The previous prime is 19745945987. The next prime is 19745946001. The reversal of 19745946000 is 64954791.

19745946000 is a `hidden beast` number, since 197 + 459 + 4 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19745946001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6136392 + ... + 6139608.

Almost surely, 2^19745946000 is an apocalyptic number.

19745946000 is a gapful number since it is divisible by the number (10) 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 19745946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38843371008).

19745946000 is an abundant number, since it is smaller than the sum of its proper divisors (57940796016).

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

19745946000 is a wasteful number, since it uses less digits than its factorization.

19745946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 19745946000 in words is "nineteen billion, seven hundred forty-five million, nine hundred forty-six thousand".