11249462840000 has 1120 divisors, whose sum is σ = 36472884940800. Its totient is φ = 3337044480000.

The previous prime is 11249462839987. The next prime is 11249462840047. The reversal of 11249462840000 is 4826494211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a self number, because there is not a number n which added to its sum of digits gives 11249462840000.

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 159 ways as a sum of consecutive naturals, for example, 26848359791 + ... + 26848360209.

It is an arithmetic number, because the mean of its divisors is an integer number (32565075840).

Almost surely, 2^{11249462840000} is an apocalyptic number.

11249462840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11249462840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18236442470400).

11249462840000 is an abundant number, since it is smaller than the sum of its proper divisors (25223422100800).

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

11249462840000 is a wasteful number, since it uses less digits than its factorization.

11249462840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 11249462840000 in words is "eleven trillion, two hundred forty-nine billion, four hundred sixty-two million, eight hundred forty thousand".