46880570513617 has 2 divisors, whose sum is σ = 46880570513618. Its totient is φ = 46880570513616.

The previous prime is 46880570513489. The next prime is 46880570513663. The reversal of 46880570513617 is 71631507508864.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46661044530321 + 219525983296 = 6830889^2 + 468536^2 .

It is a cyclic number.

It is not a de Polignac number, because 46880570513617 - 2⁷ = 46880570513489 is a prime.

It is a super-3 number, since 3×46880570513617³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (46880570513677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23440285256808 + 23440285256809.

It is an arithmetic number, because the mean of its divisors is an integer number (23440285256809).

Almost surely, 2^{46880570513617} is an apocalyptic number.

It is an amenable number.

46880570513617 is a deficient number, since it is larger than the sum of its proper divisors (1).

46880570513617 is an equidigital number, since it uses as much as digits as its factorization.

46880570513617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 46880570513617 in words is "forty-six trillion, eight hundred eighty billion, five hundred seventy million, five hundred thirteen thousand, six hundred seventeen".