19914854400 has 975 divisors, whose sum is σ = 86059159241. Its totient is φ = 4551966720.

The previous prime is 19914854381. The next prime is 19914854413. The reversal of 19914854400 is 445841991.

It is a happy number.

The square root of 19914854400 is 141120.

It is a perfect power (a square), and thus also a powerful number.

19914854400 is a `hidden beast` number, since 1 + 99 + 14 + 8 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7169347584 + 12745506816 = 84672^2 + 112896^2 .

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

It is a Duffinian number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4200 × 1176 × 4032.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2844979197 + ... + 2844979203.

Almost surely, 2^19914854400 is an apocalyptic number.

19914854400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19914854400 is the 141120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19914854400

19914854400 is an abundant number, since it is smaller than the sum of its proper divisors (66144304841).

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

19914854400 is an frugal number, since it uses more digits than its factorization.

19914854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

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

The spelling of 19914854400 in words is "nineteen billion, nine hundred fourteen million, eight hundred fifty-four thousand, four hundred".