46400122561 has 8 divisors (see below), whose sum is σ = 49971782504. Its totient is φ = 42828808320.

The previous prime is 46400122553. The next prime is 46400122577. The reversal of 46400122561 is 16522100464.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 446054400 + 45954068161 = 21120^2 + 214369^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 46400122561 - 2³ = 46400122553 is a prime.

It is a super-3 number, since 3×46400122561³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46400122501) 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 in 7 ways as a sum of consecutive naturals, for example, 237271 + ... + 386131.

It is an arithmetic number, because the mean of its divisors is an integer number (6246472813).

Almost surely, 2^46400122561 is an apocalyptic number.

It is an amenable number.

46400122561 is a deficient number, since it is larger than the sum of its proper divisors (3571659943).

46400122561 is a wasteful number, since it uses less digits than its factorization.

46400122561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172851.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 46400122561 in words is "forty-six billion, four hundred million, one hundred twenty-two thousand, five hundred sixty-one".