11263140445152 has 96 divisors (see below), whose sum is σ = 29599178112000. Its totient is φ = 3750136869888.

The previous prime is 11263140445133. The next prime is 11263140445159. The reversal of 11263140445152 is 25154404136211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11263140445152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11263140445159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340784724 + ... + 340817772.

It is an arithmetic number, because the mean of its divisors is an integer number (308324772000).

Almost surely, 2^{11263140445152} is an apocalyptic number.

11263140445152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11263140445152 is an abundant number, since it is smaller than the sum of its proper divisors (18336037666848).

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

11263140445152 is a wasteful number, since it uses less digits than its factorization.

11263140445152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36968 (or 36960 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 11263140445152 in words is "eleven trillion, two hundred sixty-three billion, one hundred forty million, four hundred forty-five thousand, one hundred fifty-two".