34164021456 has 160 divisors (see below), whose sum is σ = 101958057600. Its totient is φ = 10944046080.

The previous prime is 34164021443. The next prime is 34164021499. The reversal of 34164021456 is 65412046143.

34164021456 is a `hidden beast` number, since 3 + 4 + 1 + 640 + 2 + 1 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34164021456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172310 + ... + 1201098.

It is an arithmetic number, because the mean of its divisors is an integer number (637237860).

Almost surely, 2^34164021456 is an apocalyptic number.

34164021456 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 34164021456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50979028800).

34164021456 is an abundant number, since it is smaller than the sum of its proper divisors (67794036144).

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

34164021456 is a wasteful number, since it uses less digits than its factorization.

34164021456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28914 (or 28902 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 34164021456 its reverse (65412046143), we get a palindrome (99576067599).

The spelling of 34164021456 in words is "thirty-four billion, one hundred sixty-four million, twenty-one thousand, four hundred fifty-six".