1345515311140 has 288 divisors, whose sum is σ = 3826403159040. Its totient is φ = 385927027200.

The previous prime is 1345515311131. The next prime is 1345515311149. The reversal of 1345515311140 is 411135155431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1345515311131) and next prime (1345515311149).

It is a super-2 number, since 2×1345515311140² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1345515311096 and 1345515311105.

It is not an unprimeable number, because it can be changed into a prime (1345515311149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86138251 + ... + 86153869.

It is an arithmetic number, because the mean of its divisors is an integer number (13286122080).

Almost surely, 2^{1345515311140} is an apocalyptic number.

1345515311140 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 1345515311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913201579520).

1345515311140 is an abundant number, since it is smaller than the sum of its proper divisors (2480887847900).

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

1345515311140 is a wasteful number, since it uses less digits than its factorization.

1345515311140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16003 (or 15988 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 1345515311140 in words is "one trillion, three hundred forty-five billion, five hundred fifteen million, three hundred eleven thousand, one hundred forty".