34401468214368 has 120 divisors (see below), whose sum is σ = 101260170811800. Its totient is φ = 11457362442240.

The previous prime is 34401468214367. The next prime is 34401468214397. The reversal of 34401468214368 is 86341286410443.

34401468214368 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 1 + 4 + 68 + 214 + 368 = 666.

It is a super-2 number, since 2×34401468214368² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401468214367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2631793 + ... + 8702256.

It is an arithmetic number, because the mean of its divisors is an integer number (843834756765).

Almost surely, 2^{34401468214368} is an apocalyptic number.

It is an amenable number.

34401468214368 is an abundant number, since it is smaller than the sum of its proper divisors (66858702597432).

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

34401468214368 is a wasteful number, since it uses less digits than its factorization.

34401468214368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335242 (or 11335225 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 34401468214368 in words is "thirty-four trillion, four hundred one billion, four hundred sixty-eight million, two hundred fourteen thousand, three hundred sixty-eight".