34221465426816 has 384 divisors, whose sum is σ = 104557664484000. Its totient is φ = 10706423906304.

The previous prime is 34221465426779. The next prime is 34221465426823. The reversal of 34221465426816 is 61862456412243.

34221465426816 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 14 + 6 + 542 + 6 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×34221465426816² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16303698535 + ... + 16303700633.

Almost surely, 2^{34221465426816} is an apocalyptic number.

34221465426816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221465426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52278832242000).

34221465426816 is an abundant number, since it is smaller than the sum of its proper divisors (70336199057184).

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

34221465426816 is a wasteful number, since it uses less digits than its factorization.

34221465426816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4031 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 34221465426816 in words is "thirty-four trillion, two hundred twenty-one billion, four hundred sixty-five million, four hundred twenty-six thousand, eight hundred sixteen".