11449904258016 has 144 divisors (see below), whose sum is σ = 37228793906304. Its totient is φ = 3269941431552.

The previous prime is 11449904257999. The next prime is 11449904258021. The reversal of 11449904258016 is 61085240994411.

11449904258016 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 9 + 9 + 0 + 42 + 580 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11449904258016² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3255835 + ... + 5787941.

It is an arithmetic number, because the mean of its divisors is an integer number (258533291016).

Almost surely, 2^{11449904258016} is an apocalyptic number.

11449904258016 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 11449904258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614396953152).

11449904258016 is an abundant number, since it is smaller than the sum of its proper divisors (25778889648288).

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

11449904258016 is a wasteful number, since it uses less digits than its factorization.

11449904258016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534373 (or 2534362 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11449904258016 in words is "eleven trillion, four hundred forty-nine billion, nine hundred four million, two hundred fifty-eight thousand, sixteen".