11416575358272 has 448 divisors, whose sum is σ = 37030773694464. Its totient is φ = 3033932267520.

The previous prime is 11416575358271. The next prime is 11416575358283. The reversal of 11416575358272 is 27285357561411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×11416575358272² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416575358271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160181268 + ... + 160252524.

Almost surely, 2^{11416575358272} is an apocalyptic number.

11416575358272 is a gapful number since it is divisible by the number (12) 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 11416575358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515386847232).

11416575358272 is an abundant number, since it is smaller than the sum of its proper divisors (25614198336192).

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

11416575358272 is a wasteful number, since it uses less digits than its factorization.

11416575358272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71446 (or 71436 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 57.

The spelling of 11416575358272 in words is "eleven trillion, four hundred sixteen billion, five hundred seventy-five million, three hundred fifty-eight thousand, two hundred seventy-two".