743877122661 has 24 divisors (see below), whose sum is σ = 1125103412160. Its totient is φ = 491103326592.

The previous prime is 743877122641. The next prime is 743877122687. The reversal of 743877122661 is 166221778347.

It is not a de Polignac number, because 743877122661 - 2³⁵ = 709517384293 is a prime.

It is a super-3 number, since 3×743877122661³ (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 743877122598 and 743877122607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743877122641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14835276 + ... + 14885333.

It is an arithmetic number, because the mean of its divisors is an integer number (46879308840).

Almost surely, 2^743877122661 is an apocalyptic number.

It is an amenable number.

743877122661 is a deficient number, since it is larger than the sum of its proper divisors (381226289499).

743877122661 is a wasteful number, since it uses less digits than its factorization.

743877122661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29720727 (or 29720715 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 743877122661 in words is "seven hundred forty-three billion, eight hundred seventy-seven million, one hundred twenty-two thousand, six hundred sixty-one".