11036147426304 has 704 divisors, whose sum is σ = 40301309798400. Its totient is φ = 2645993226240.

The previous prime is 11036147426177. The next prime is 11036147426327. The reversal of 11036147426304 is 40362474163011.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×11036147426304² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150641907 + ... + 150715149.

Almost surely, 2^{11036147426304} is an apocalyptic number.

11036147426304 is a gapful number since it is divisible by the number (14) 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 11036147426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20150654899200).

11036147426304 is an abundant number, since it is smaller than the sum of its proper divisors (29265162372096).

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

11036147426304 is a wasteful number, since it uses less digits than its factorization.

11036147426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73311 (or 73279 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 11036147426304 in words is "eleven trillion, thirty-six billion, one hundred forty-seven million, four hundred twenty-six thousand, three hundred four".