19961465472 has 512 divisors, whose sum is σ = 66069561600. Its totient is φ = 5894553600.

The previous prime is 19961465453. The next prime is 19961465473. The reversal of 19961465472 is 27456416991.

19961465472 is a `hidden beast` number, since 1 + 9 + 96 + 1 + 4 + 6 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19961465473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197638222 + ... + 197638322.

Almost surely, 2^19961465472 is an apocalyptic number.

19961465472 is a gapful number since it is divisible by the number (12) 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 19961465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33034780800).

19961465472 is an abundant number, since it is smaller than the sum of its proper divisors (46108096128).

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

19961465472 is a wasteful number, since it uses less digits than its factorization.

19961465472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 19961465472 in words is "nineteen billion, nine hundred sixty-one million, four hundred sixty-five thousand, four hundred seventy-two".