34211446644144 has 480 divisors, whose sum is σ = 113198907663360. Its totient is φ = 8876909099520.

The previous prime is 34211446644139. The next prime is 34211446644161. The reversal of 34211446644144 is 44144664411243.

It is a super-2 number, since 2×34211446644144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34211446644093 and 34211446644102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3346512217 + ... + 3346522439.

It is an arithmetic number, because the mean of its divisors is an integer number (235831057632).

Almost surely, 2^{34211446644144} 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 34211446644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56599453831680).

34211446644144 is an abundant number, since it is smaller than the sum of its proper divisors (78987461019216).

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

34211446644144 is a wasteful number, since it uses less digits than its factorization.

34211446644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11350 (or 11315 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 48.

The spelling of 34211446644144 in words is "thirty-four trillion, two hundred eleven billion, four hundred forty-six million, six hundred forty-four thousand, one hundred forty-four".