1345530400900 has 243 divisors, whose sum is σ = 3458905145199. Its totient is φ = 453000764160.

The previous prime is 1345530400883. The next prime is 1345530400909. The reversal of 1345530400900 is 90040355431.

The square root of 1345530400900 is 1159970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7362669636 + 1338167731264 = 85806^2 + 1156792^2 .

It is a super-2 number, since 2×1345530400900² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1345530400909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5927446587 + ... + 5927446813.

Almost surely, 2^{1345530400900} is an apocalyptic number.

1345530400900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1345530400900 is the 1159970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345530400900

1345530400900 is an abundant number, since it is smaller than the sum of its proper divisors (2113374744299).

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

1345530400900 is an equidigital number, since it uses as much as digits as its factorization.

1345530400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 1345530400900 in words is "one trillion, three hundred forty-five billion, five hundred thirty million, four hundred thousand, nine hundred".