11345386334352 has 160 divisors (see below), whose sum is σ = 33531853824000. Its totient is φ = 3238061927424.

The previous prime is 11345386334281. The next prime is 11345386334363. The reversal of 11345386334352 is 25343368354311.

It is a super-2 number, since 2×11345386334352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11345386334295 and 11345386334304.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1876197793 + ... + 1876203839.

It is an arithmetic number, because the mean of its divisors is an integer number (209574086400).

Almost surely, 2^{11345386334352} is an apocalyptic number.

11345386334352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11345386334352 is an abundant number, since it is smaller than the sum of its proper divisors (22186467489648).

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

11345386334352 is a wasteful number, since it uses less digits than its factorization.

11345386334352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11127 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 51.

The spelling of 11345386334352 in words is "eleven trillion, three hundred forty-five billion, three hundred eighty-six million, three hundred thirty-four thousand, three hundred fifty-two".