34484147021448 has 320 divisors, whose sum is σ = 102064759560000. Its totient is φ = 10787957454816.

The previous prime is 34484147021437. The next prime is 34484147021473. The reversal of 34484147021448 is 84412074148443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34484147021448 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 414 + 7 + 0 + 214 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 34484147021448 = 4066³ + 32528³ = 18297³ + 30495³.

It is a junction number, because it is equal to n+sod(n) for n = 34484147021394 and 34484147021403.

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, 322281747811 + ... + 322281747917.

It is an arithmetic number, because the mean of its divisors is an integer number (318952373625).

Almost surely, 2^{34484147021448} is an apocalyptic number.

34484147021448 is a gapful number since it is divisible by the number (38) 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 34484147021448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51032379780000).

34484147021448 is an abundant number, since it is smaller than the sum of its proper divisors (67580612538552).

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

34484147021448 is an frugal number, since it uses more digits than its factorization.

34484147021448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 34484147021448 in words is "thirty-four trillion, four hundred eighty-four billion, one hundred forty-seven million, twenty-one thousand, four hundred forty-eight".