11306352450064 has 405 divisors, whose sum is σ = 27321446058933. Its totient is φ = 4519189248000.

The previous prime is 11306352450059. The next prime is 11306352450067. The reversal of 11306352450064 is 46005425360311.

The square root of 11306352450064 is 3362492.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5129735771664 + 6176616678400 = 2264892^2 + 2485280^2 .

It is a super-2 number, since 2×11306352450064² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11306352449999 and 11306352450026.

It is not an unprimeable number, because it can be changed into a prime (11306352450067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 111944083614 + ... + 111944083714.

Almost surely, 2^{11306352450064} is an apocalyptic number.

11306352450064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11306352450064 is the 3362492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11306352450064

11306352450064 is an abundant number, since it is smaller than the sum of its proper divisors (16015093608869).

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

11306352450064 is an equidigital number, since it uses as much as digits as its factorization.

11306352450064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 11306352450064 in words is "eleven trillion, three hundred six billion, three hundred fifty-two million, four hundred fifty thousand, sixty-four".