1345853596200 has 192 divisors, whose sum is σ = 4650070680000. Its totient is φ = 320004771840.

The previous prime is 1345853596189. The next prime is 1345853596201. The reversal of 1345853596200 is 26953585431.

It is a super-2 number, since 2×1345853596200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1345853596201) 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, 3278475 + ... + 3666074.

It is an arithmetic number, because the mean of its divisors is an integer number (24219118125).

Almost surely, 2^{1345853596200} is an apocalyptic number.

1345853596200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345853596200 is an abundant number, since it is smaller than the sum of its proper divisors (3304217083800).

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

1345853596200 is a wasteful number, since it uses less digits than its factorization.

1345853596200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944604 (or 6944595 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 1345853596200 in words is "one trillion, three hundred forty-five billion, eight hundred fifty-three million, five hundred ninety-six thousand, two hundred".