198728792294400 has 891 divisors, whose sum is σ = 729543576274149. Its totient is φ = 51686131875840.

The previous prime is 198728792294369. The next prime is 198728792294423. The reversal of 198728792294400 is 4492297827891.

The square root of 198728792294400 is 14097120.

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

198728792294400 is a `hidden beast` number, since 1 + 9 + 8 + 72 + 8 + 7 + 92 + 29 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71542365225984 + 127186427068416 = 8458272^2 + 11277696^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 290964556459 + ... + 290964557141.

Almost surely, 2^{198728792294400} is an apocalyptic number.

198728792294400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198728792294400 is the 14097120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198728792294400

198728792294400 is an abundant number, since it is smaller than the sum of its proper divisors (530814783979749).

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

198728792294400 is an frugal number, since it uses more digits than its factorization.

198728792294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 198728792294400 in words is "one hundred ninety-eight trillion, seven hundred twenty-eight billion, seven hundred ninety-two million, two hundred ninety-four thousand, four hundred".