61346208001 has 16 divisors (see below), whose sum is σ = 67220659408. Its totient is φ = 55638835200.

The previous prime is 61346207947. The next prime is 61346208013. The reversal of 61346208001 is 10080264316.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19099516401 + 42246691600 = 138201^2 + 205540^2 .

It is not a de Polignac number, because 61346208001 - 2¹³ = 61346199809 is a prime.

It is a super-2 number, since 2×61346208001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61346208401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701761 + ... + 784321.

It is an arithmetic number, because the mean of its divisors is an integer number (4201291213).

Almost surely, 2^61346208001 is an apocalyptic number.

61346208001 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

61346208001 is a deficient number, since it is larger than the sum of its proper divisors (5874451407).

61346208001 is a wasteful number, since it uses less digits than its factorization.

61346208001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83572.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 61346208001 in words is "sixty-one billion, three hundred forty-six million, two hundred eight thousand, one".