1354144316200 has 192 divisors, whose sum is σ = 3425405760000. Its totient is φ = 494880368640.

The previous prime is 1354144316183. The next prime is 1354144316209. The reversal of 1354144316200 is 26134414531.

It is not an unprimeable number, because it can be changed into a prime (1354144316209) 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, 103767276 + ... + 103780324.

It is an arithmetic number, because the mean of its divisors is an integer number (17840655000).

Almost surely, 2^{1354144316200} is an apocalyptic number.

1354144316200 is a gapful number since it is divisible by the number (10) 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 1354144316200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712702880000).

1354144316200 is an abundant number, since it is smaller than the sum of its proper divisors (2071261443800).

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

1354144316200 is a wasteful number, since it uses less digits than its factorization.

1354144316200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13484 (or 13475 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 1354144316200 in words is "one trillion, three hundred fifty-four billion, one hundred forty-four million, three hundred sixteen thousand, two hundred".