34458214892544 has 297 divisors, whose sum is σ = 101737553818381. Its totient is φ = 11233046323200.

The previous prime is 34458214892539. The next prime is 34458214892597. The reversal of 34458214892544 is 44529841285443.

The square root of 34458214892544 is 5870112.

It is a perfect power (a square), and thus also a powerful number.

34458214892544 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 8 + 2 + 1 + 4 + 89 + 2 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52951532544 + 34405263360000 = 230112^2 + 5865600^2 .

It is a super-2 number, since 2×34458214892544² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26485944694 + ... + 26485945994.

Almost surely, 2^{34458214892544} is an apocalyptic number.

34458214892544 is the 5870112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34458214892544

34458214892544 is an abundant number, since it is smaller than the sum of its proper divisors (67279338925837).

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

34458214892544 is an frugal number, since it uses more digits than its factorization.

34458214892544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 1353 counting only the distinct ones).

The product of its digits is 176947200, while the sum is 63.

The spelling of 34458214892544 in words is "thirty-four trillion, four hundred fifty-eight billion, two hundred fourteen million, eight hundred ninety-two thousand, five hundred forty-four".