201997300616811 has 768 divisors, whose sum is σ = 385259929600000. Its totient is φ = 101508222816000.

The previous prime is 201997300616791. The next prime is 201997300616897. The reversal of 201997300616811 is 118616003799102.

201997300616811 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 9 + 7 + 3 + 0 + 0 + 616 + 8 + 11 = 666.

It is not a de Polignac number, because 201997300616811 - 2⁹ = 201997300616299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201997300617811) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1337730467586 + ... + 1337730467736.

Almost surely, 2^{201997300616811} is an apocalyptic number.

201997300616811 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201997300616811 is a deficient number, since it is larger than the sum of its proper divisors (183262628983189).

201997300616811 is a wasteful number, since it uses less digits than its factorization.

201997300616811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 201997300616811 in words is "two hundred one trillion, nine hundred ninety-seven billion, three hundred million, six hundred sixteen thousand, eight hundred eleven".