34478142259968 has 108 divisors (see below), whose sum is σ = 108446164394568. Its totient is φ = 10447921889280.

The previous prime is 34478142259963. The next prime is 34478142259969. The reversal of 34478142259968 is 86995224187443.

34478142259968 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 8 + 1 + 4 + 22 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×34478142259968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34478142259896 and 34478142259905.

It is not an unprimeable number, because it can be changed into a prime (34478142259963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 680177905 + ... + 680228592.

Almost surely, 2^{34478142259968} is an apocalyptic number.

It is an amenable number.

34478142259968 is an abundant number, since it is smaller than the sum of its proper divisors (73968022134600).

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

34478142259968 is a wasteful number, since it uses less digits than its factorization.

34478142259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360406530 (or 1360406513 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 34478142259968 in words is "thirty-four trillion, four hundred seventy-eight billion, one hundred forty-two million, two hundred fifty-nine thousand, nine hundred sixty-eight".