1354128316416 has 576 divisors, whose sum is σ = 4481756697600. Its totient is φ = 406295543808.

The previous prime is 1354128316363. The next prime is 1354128316417. The reversal of 1354128316416 is 6146138214531.

It is a happy number.

1354128316416 is a `hidden beast` number, since 1 + 3 + 541 + 2 + 8 + 31 + 64 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354128316417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194583145 + ... + 194590103.

It is an arithmetic number, because the mean of its divisors is an integer number (7780827600).

Almost surely, 2^{1354128316416} is an apocalyptic number.

1354128316416 is a gapful number since it is divisible by the number (16) 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 1354128316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240878348800).

1354128316416 is an abundant number, since it is smaller than the sum of its proper divisors (3127628381184).

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

1354128316416 is an equidigital number, since it uses as much as digits as its factorization.

1354128316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7004 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 1354128316416 in words is "one trillion, three hundred fifty-four billion, one hundred twenty-eight million, three hundred sixteen thousand, four hundred sixteen".