34103604162816 has 108 divisors (see below), whose sum is σ = 98843911595520. Its totient is φ = 11308350274560.

The previous prime is 34103604162773. The next prime is 34103604162841. The reversal of 34103604162816 is 61826140630143.

34103604162816 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 3 + 6 + 0 + 4 + 1 + 628 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38308396 + ... + 39188523.

Almost surely, 2^{34103604162816} is an apocalyptic number.

34103604162816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34103604162816 is an abundant number, since it is smaller than the sum of its proper divisors (64740307432704).

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

34103604162816 is a wasteful number, since it uses less digits than its factorization.

34103604162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77497132 (or 77497115 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 34103604162816 its reverse (61826140630143), we get a palindrome (95929744792959).

The spelling of 34103604162816 in words is "thirty-four trillion, one hundred three billion, six hundred four million, one hundred sixty-two thousand, eight hundred sixteen".