11073349886976 has 440 divisors, whose sum is σ = 36194816367864. Its totient is φ = 3351309189120.

The previous prime is 11073349886899. The next prime is 11073349886981. The reversal of 11073349886976 is 67968894337011.

It is a happy number.

11073349886976 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 3 + 3 + 498 + 8 + 69 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 284489957376 + 10788859929600 = 533376^2 + 3284640^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65690416 + ... + 65858768.

Almost surely, 2^{11073349886976} is an apocalyptic number.

11073349886976 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 11073349886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18097408183932).

11073349886976 is an abundant number, since it is smaller than the sum of its proper divisors (25121466480888).

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

11073349886976 is a wasteful number, since it uses less digits than its factorization.

11073349886976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168459 (or 168432 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 11073349886976 in words is "eleven trillion, seventy-three billion, three hundred forty-nine million, eight hundred eighty-six thousand, nine hundred seventy-six".