34122146553 has 48 divisors (see below), whose sum is σ = 54766670400. Its totient is φ = 20297197440.

The previous prime is 34122146521. The next prime is 34122146561. The reversal of 34122146553 is 35564122143.

34122146553 is a `hidden beast` number, since 3 + 41 + 2 + 21 + 46 + 553 = 666.

It is not a de Polignac number, because 34122146553 - 2⁵ = 34122146521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34122146503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3950043 + ... + 3958671.

It is an arithmetic number, because the mean of its divisors is an integer number (1140972300).

Almost surely, 2^34122146553 is an apocalyptic number.

34122146553 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34122146553 is a deficient number, since it is larger than the sum of its proper divisors (20644523847).

34122146553 is a wasteful number, since it uses less digits than its factorization.

34122146553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9379 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 34122146553 its reverse (35564122143), we get a palindrome (69686268696).

The spelling of 34122146553 in words is "thirty-four billion, one hundred twenty-two million, one hundred forty-six thousand, five hundred fifty-three".