34055063622144 has 800 divisors, whose sum is σ = 106679477076480. Its totient is φ = 10803290112000.

The previous prime is 34055063622131. The next prime is 34055063622157. The reversal of 34055063622144 is 44122636055043.

34055063622144 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 5 + 0 + 6 + 3 + 622 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34055063622131) and next prime (34055063622157).

It is a self number, because there is not a number n which added to its sum of digits gives 34055063622144.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21165358812 + ... + 21165360420.

Almost surely, 2^{34055063622144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34055063622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53339738538240).

34055063622144 is an abundant number, since it is smaller than the sum of its proper divisors (72624413454336).

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

34055063622144 is a wasteful number, since it uses less digits than its factorization.

34055063622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 34055063622144 its reverse (44122636055043), we get a palindrome (78177699677187).

The spelling of 34055063622144 in words is "thirty-four trillion, fifty-five billion, sixty-three million, six hundred twenty-two thousand, one hundred forty-four".