34055620100541 has 32 divisors (see below), whose sum is σ = 55658966375040. Its totient is φ = 20446150896000.

The previous prime is 34055620100497. The next prime is 34055620100611. The reversal of 34055620100541 is 14500102655043.

34055620100541 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 5 + 6 + 2 + 0 + 100 + 541 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-34055620100541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34055620100496 and 34055620100505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34055620105541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183211935 + ... + 1183240716.

It is an arithmetic number, because the mean of its divisors is an integer number (1739342699220).

Almost surely, 2^{34055620100541} is an apocalyptic number.

It is an amenable number.

34055620100541 is a deficient number, since it is larger than the sum of its proper divisors (21603346274499).

34055620100541 is a wasteful number, since it uses less digits than its factorization.

34055620100541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366452714 (or 2366452708 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 34055620100541 its reverse (14500102655043), we get a palindrome (48555722755584).

The spelling of 34055620100541 in words is "thirty-four trillion, fifty-five billion, six hundred twenty million, one hundred thousand, five hundred forty-one".