201945131347600 has 135 divisors (see below), whose sum is σ = 493576814335593. Its totient is φ = 79402339221120.

The previous prime is 201945131347573. The next prime is 201945131347649. The reversal of 201945131347600 is 6743131549102.

The square root of 201945131347600 is 14210740.

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

201945131347600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 72700247285136 + 129244884062464 = 8526444^2 + 11368592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16768667179 + ... + 16768679221.

Almost surely, 2^{201945131347600} is an apocalyptic number.

201945131347600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201945131347600 is the 14210740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201945131347600

201945131347600 is an abundant number, since it is smaller than the sum of its proper divisors (291631682987993).

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

201945131347600 is an frugal number, since it uses more digits than its factorization.

201945131347600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24222 (or 12109 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 201945131347600 in words is "two hundred one trillion, nine hundred forty-five billion, one hundred thirty-one million, three hundred forty-seven thousand, six hundred".