34555634004101 has 32 divisors (see below), whose sum is σ = 40494282048000. Its totient is φ = 28875194449920.

The previous prime is 34555634004041. The next prime is 34555634004107. The reversal of 34555634004101 is 10140043655543.

It is not a de Polignac number, because 34555634004101 - 2¹⁸ = 34555633741957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34555634004107) 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, 39715160 + ... + 40575918.

It is an arithmetic number, because the mean of its divisors is an integer number (1265446314000).

Almost surely, 2^{34555634004101} is an apocalyptic number.

It is an amenable number.

34555634004101 is a deficient number, since it is larger than the sum of its proper divisors (5938648043899).

34555634004101 is a wasteful number, since it uses less digits than its factorization.

34555634004101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861509.

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 34555634004101 its reverse (10140043655543), we get a palindrome (44695677659644).

The spelling of 34555634004101 in words is "thirty-four trillion, five hundred fifty-five billion, six hundred thirty-four million, four thousand, one hundred one".