4561938671100 has 72 divisors (see below), whose sum is σ = 13272947976960. Its totient is φ = 1209720780480.

The previous prime is 4561938671041. The next prime is 4561938671159. The reversal of 4561938671100 is 11768391654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4561938671041) and next prime (4561938671159).

It is a super-2 number, since 2×4561938671100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42422452 + ... + 42529851.

It is an arithmetic number, because the mean of its divisors is an integer number (184346499680).

Almost surely, 2^{4561938671100} is an apocalyptic number.

It is an amenable number.

4561938671100 is an abundant number, since it is smaller than the sum of its proper divisors (8711009305860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4561938671100 is a wasteful number, since it uses less digits than its factorization.

4561938671100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84952499 (or 84952492 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 4561938671100 in words is "four trillion, five hundred sixty-one billion, nine hundred thirty-eight million, six hundred seventy-one thousand, one hundred".