34613121123744 has 96 divisors (see below), whose sum is σ = 95730338156544. Its totient is φ = 10928921245440.

The previous prime is 34613121123743. The next prime is 34613121123761. The reversal of 34613121123744 is 44732112131643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34613121123696 and 34613121123705.

It is not an unprimeable number, because it can be changed into a prime (34613121123743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75870792 + ... + 76325639.

It is an arithmetic number, because the mean of its divisors is an integer number (997191022464).

Almost surely, 2^{34613121123744} is an apocalyptic number.

It is an amenable number.

34613121123744 is an abundant number, since it is smaller than the sum of its proper divisors (61117217032800).

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

34613121123744 is a wasteful number, since it uses less digits than its factorization.

34613121123744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152196570 (or 152196562 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 34613121123744 in words is "thirty-four trillion, six hundred thirteen billion, one hundred twenty-one million, one hundred twenty-three thousand, seven hundred forty-four".