611721416401 has 32 divisors (see below), whose sum is σ = 641962661760. Its totient is φ = 582455577600.

The previous prime is 611721416389. The next prime is 611721416413. The reversal of 611721416401 is 104614127116.

It is an interprime number because it is at equal distance from previous prime (611721416389) and next prime (611721416413).

It is a cyclic number.

It is not a de Polignac number, because 611721416401 - 2⁹ = 611721415889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (611721411401) 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 31 ways as a sum of consecutive naturals, for example, 399556006 + ... + 399557536.

It is an arithmetic number, because the mean of its divisors is an integer number (20061333180).

Almost surely, 2^611721416401 is an apocalyptic number.

611721416401 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

611721416401 is a deficient number, since it is larger than the sum of its proper divisors (30241245359).

611721416401 is a wasteful number, since it uses less digits than its factorization.

611721416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217.

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 611721416401 in words is "six hundred eleven billion, seven hundred twenty-one million, four hundred sixteen thousand, four hundred one".