1355456115104 has 144 divisors (see below), whose sum is σ = 3346854402528. Its totient is φ = 535610009088.

The previous prime is 1355456115103. The next prime is 1355456115113. The reversal of 1355456115104 is 4015116545531.

It is a super-2 number, since 2×1355456115104² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1355456115103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17961419 + ... + 18036725.

It is an arithmetic number, because the mean of its divisors is an integer number (23242044462).

Almost surely, 2^{1355456115104} is an apocalyptic number.

1355456115104 is a gapful number since it is divisible by the number (14) 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 1355456115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673427201264).

1355456115104 is an abundant number, since it is smaller than the sum of its proper divisors (1991398287424).

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

1355456115104 is a wasteful number, since it uses less digits than its factorization.

1355456115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76227 (or 76212 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 41.

The spelling of 1355456115104 in words is "one trillion, three hundred fifty-five billion, four hundred fifty-six million, one hundred fifteen thousand, one hundred four".