46727732037101 has 2 divisors, whose sum is σ = 46727732037102. Its totient is φ = 46727732037100.

The previous prime is 46727732037071. The next prime is 46727732037131. The reversal of 46727732037101 is 10173023772764.

It is a balanced prime because it is at equal distance from previous prime (46727732037071) and next prime (46727732037131).

It can be written as a sum of positive squares in only one way, i.e., 44106214845001 + 2621517192100 = 6641251^2 + 1619110^2 .

It is a cyclic number.

It is not a de Polignac number, because 46727732037101 - 2²² = 46727727842797 is a prime.

It is a super-2 number, since 2×46727732037101² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46727732037101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46727732037131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23363866018550 + 23363866018551.

It is an arithmetic number, because the mean of its divisors is an integer number (23363866018551).

Almost surely, 2^{46727732037101} is an apocalyptic number.

It is an amenable number.

46727732037101 is a deficient number, since it is larger than the sum of its proper divisors (1).

46727732037101 is an equidigital number, since it uses as much as digits as its factorization.

46727732037101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2074464, while the sum is 50.

The spelling of 46727732037101 in words is "forty-six trillion, seven hundred twenty-seven billion, seven hundred thirty-two million, thirty-seven thousand, one hundred one".