1345436221104 has 160 divisors (see below), whose sum is σ = 3926331288000. Its totient is φ = 441056102400.

The previous prime is 1345436221037. The next prime is 1345436221123. The reversal of 1345436221104 is 4011226345431.

1345436221104 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 436 + 2 + 211 + 0 + 4 = 666.

It is a super-2 number, since 2×1345436221104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6397692 + ... + 6604644.

It is an arithmetic number, because the mean of its divisors is an integer number (24539570550).

Almost surely, 2^{1345436221104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345436221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963165644000).

1345436221104 is an abundant number, since it is smaller than the sum of its proper divisors (2580895066896).

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

1345436221104 is a wasteful number, since it uses less digits than its factorization.

1345436221104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207220 (or 207208 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1345436221104 in words is "one trillion, three hundred forty-five billion, four hundred thirty-six million, two hundred twenty-one thousand, one hundred four".