1354416448 has 224 divisors, whose sum is σ = 3511296000. Its totient is φ = 513676800.

The previous prime is 1354416439. The next prime is 1354416473. The reversal of 1354416448 is 8446144531.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1354416448² = 3668887829225873408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1354416448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17144473 + ... + 17144551.

Almost surely, 2^1354416448 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 1354416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755648000).

1354416448 is an abundant number, since it is smaller than the sum of its proper divisors (2156879552).

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

1354416448 is an equidigital number, since it uses as much as digits as its factorization.

1354416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 1354416448 is about 36802.3973132186. The cubic root of 1354416448 is about 1106.4133476092.

It can be divided in two parts, 13544 and 16448, that added together give a palindrome (29992).

The spelling of 1354416448 in words is "one billion, three hundred fifty-four million, four hundred sixteen thousand, four hundred forty-eight".