34153012354144 has 24 divisors (see below), whose sum is σ = 67238975278440. Its totient is φ = 17076447204096.

The previous prime is 34153012354127. The next prime is 34153012354147. The reversal of 34153012354144 is 44145321035143.

It is a junction number, because it is equal to n+sod(n) for n = 34153012354097 and 34153012354106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34153012354147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8452867 + ... + 11821885.

It is an arithmetic number, because the mean of its divisors is an integer number (2801623969935).

Almost surely, 2^{34153012354144} is an apocalyptic number.

It is an amenable number.

34153012354144 is a deficient number, since it is larger than the sum of its proper divisors (33085962924296).

34153012354144 is a wasteful number, since it uses less digits than its factorization.

34153012354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685822 (or 3685814 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 34153012354144 its reverse (44145321035143), we get a palindrome (78298333389287).

The spelling of 34153012354144 in words is "thirty-four trillion, one hundred fifty-three billion, twelve million, three hundred fifty-four thousand, one hundred forty-four".