11346121563000 has 128 divisors (see below), whose sum is σ = 40457027819520. Its totient is φ = 2593399209600.

The previous prime is 11346121562983. The next prime is 11346121563017. The reversal of 11346121563000 is 36512164311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11346121562983) and next prime (11346121563017).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270124752 + ... + 270166751.

It is an arithmetic number, because the mean of its divisors is an integer number (316070529840).

Almost surely, 2^{11346121563000} is an apocalyptic number.

11346121563000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11346121563000 is an abundant number, since it is smaller than the sum of its proper divisors (29110906256520).

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

11346121563000 is a wasteful number, since it uses less digits than its factorization.

11346121563000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540291534 (or 540291520 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 11346121563000 in words is "eleven trillion, three hundred forty-six billion, one hundred twenty-one million, five hundred sixty-three thousand".