1345556637700 has 144 divisors (see below), whose sum is σ = 3196595404800. Its totient is φ = 487561360000.

The previous prime is 1345556637679. The next prime is 1345556637767. The reversal of 1345556637700 is 77366555431.

It is a happy number.

It is a super-2 number, since 2×1345556637700² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560881101 + ... + 560883499.

It is an arithmetic number, because the mean of its divisors is an integer number (22198579200).

Almost surely, 2^{1345556637700} is an apocalyptic number.

1345556637700 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 1345556637700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598297702400).

1345556637700 is an abundant number, since it is smaller than the sum of its proper divisors (1851038767100).

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

1345556637700 is a wasteful number, since it uses less digits than its factorization.

1345556637700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 52.

The spelling of 1345556637700 in words is "one trillion, three hundred forty-five billion, five hundred fifty-six million, six hundred thirty-seven thousand, seven hundred".