1345437164160 has 320 divisors, whose sum is σ = 4808733237000. Its totient is φ = 358489497600.

The previous prime is 1345437164119. The next prime is 1345437164167. The reversal of 1345437164160 is 614617345431.

1345437164160 is a `hidden beast` number, since 1 + 3 + 4 + 543 + 7 + 1 + 6 + 41 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317581839936 + 1027855324224 = 563544^2 + 1013832^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1345437164167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67433866 + ... + 67453814.

Almost surely, 2^{1345437164160} is an apocalyptic number.

1345437164160 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 1345437164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404366618500).

1345437164160 is an abundant number, since it is smaller than the sum of its proper divisors (3463296072840).

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

1345437164160 is a wasteful number, since it uses less digits than its factorization.

1345437164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21281 (or 21260 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1345437164160 in words is "one trillion, three hundred forty-five billion, four hundred thirty-seven million, one hundred sixty-four thousand, one hundred sixty".