345061210100661 has 16 divisors (see below), whose sum is σ = 511232811045120. Its totient is φ = 230026848497280.

The previous prime is 345061210100639. The next prime is 345061210100683. The reversal of 345061210100661 is 166001012160543.

345061210100661 is a `hidden beast` number, since 34 + 5 + 0 + 612 + 1 + 0 + 1 + 0 + 0 + 6 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (345061210100639) and next prime (345061210100683).

It is not a de Polignac number, because 345061210100661 - 2¹¹ = 345061210098613 is a prime.

It is a super-2 number, since 2×345061210100661² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345061210200661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387275565 + ... + 388165538.

It is an arithmetic number, because the mean of its divisors is an integer number (31952050690320).

Almost surely, 2^{345061210100661} is an apocalyptic number.

It is an amenable number.

345061210100661 is a deficient number, since it is larger than the sum of its proper divisors (166171600944459).

345061210100661 is a wasteful number, since it uses less digits than its factorization.

345061210100661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775457593 (or 775457587 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 345061210100661 in words is "three hundred forty-five trillion, sixty-one billion, two hundred ten million, one hundred thousand, six hundred sixty-one".