195320470004100 has 729 divisors, whose sum is σ = 724706299795023. Its totient is φ = 43872548832000.

The previous prime is 195320470004087. The next prime is 195320470004111. The reversal of 195320470004100 is 1400074023591.

The square root of 195320470004100 is 13975710.

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

195320470004100 is a `hidden beast` number, since 19 + 53 + 20 + 470 + 0 + 0 + 4 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89968146403716 + 105352323600384 = 9485154^2 + 10264128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 179028844555 + ... + 179028845645.

Almost surely, 2^{195320470004100} is an apocalyptic number.

195320470004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195320470004100 is the 13975710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195320470004100

195320470004100 is an abundant number, since it is smaller than the sum of its proper divisors (529385829790923).

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

195320470004100 is a wasteful number, since it uses less digits than its factorization.

195320470004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

195320470004100 divided by its sum of digits (36) gives a square (5425568611225 = 2329285²).

The spelling of 195320470004100 in words is "one hundred ninety-five trillion, three hundred twenty billion, four hundred seventy million, four thousand, one hundred".