1146057377537 has 2 divisors, whose sum is σ = 1146057377538. Its totient is φ = 1146057377536.

The previous prime is 1146057377461. The next prime is 1146057377539. The reversal of 1146057377537 is 7357737506411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1114542606961 + 31514770576 = 1055719^2 + 177524^2 .

It is a cyclic number.

It is not a de Polignac number, because 1146057377537 - 2²⁴ = 1146040600321 is a prime.

Together with 1146057377539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1146057377539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 573028688768 + 573028688769.

It is an arithmetic number, because the mean of its divisors is an integer number (573028688769).

Almost surely, 2^{1146057377537} is an apocalyptic number.

It is an amenable number.

1146057377537 is a deficient number, since it is larger than the sum of its proper divisors (1).

1146057377537 is an equidigital number, since it uses as much as digits as its factorization.

1146057377537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12965400, while the sum is 56.

The spelling of 1146057377537 in words is "one trillion, one hundred forty-six billion, fifty-seven million, three hundred seventy-seven thousand, five hundred thirty-seven".