11350844499456 has 1920 divisors, whose sum is σ = 44435333099520. Its totient is φ = 2825935257600.

The previous prime is 11350844499427. The next prime is 11350844499469. The reversal of 11350844499456 is 65499444805311.

11350844499456 is a `hidden beast` number, since 1 + 1 + 3 + 50 + 8 + 4 + 44 + 99 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 11350844499393 and 11350844499402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36264678756 + ... + 36264679068.

It is an arithmetic number, because the mean of its divisors is an integer number (23143402656).

Almost surely, 2^{11350844499456} is an apocalyptic number.

11350844499456 is a gapful number since it is divisible by the number (16) 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 11350844499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217666549760).

11350844499456 is an abundant number, since it is smaller than the sum of its proper divisors (33084488600064).

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

11350844499456 is a wasteful number, since it uses less digits than its factorization.

11350844499456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 11350844499456 in words is "eleven trillion, three hundred fifty billion, eight hundred forty-four million, four hundred ninety-nine thousand, four hundred fifty-six".