19914454800 has 480 divisors, whose sum is σ = 75391603200. Its totient is φ = 4978506240.

The previous prime is 19914454787. The next prime is 19914454811. The reversal of 19914454800 is 845441991.

It is a happy number.

19914454800 is a `hidden beast` number, since 1 + 99 + 14 + 4 + 548 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 21955947 + ... + 21956853.

It is an arithmetic number, because the mean of its divisors is an integer number (157065840).

Almost surely, 2^19914454800 is an apocalyptic number.

19914454800 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 19914454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37695801600).

19914454800 is an abundant number, since it is smaller than the sum of its proper divisors (55477148400).

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

19914454800 is a wasteful number, since it uses less digits than its factorization.

19914454800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1043 counting only the distinct ones).

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

The spelling of 19914454800 in words is "nineteen billion, nine hundred fourteen million, four hundred fifty-four thousand, eight hundred".