11246135427072 has 960 divisors, whose sum is σ = 41528633664000. Its totient is φ = 2965153775616.

The previous prime is 11246135427049. The next prime is 11246135427101. The reversal of 11246135427072 is 27072453164211.

11246135427072 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 613 + 5 + 4 + 27 + 0 + 7 + 2 = 666.

It is a congruent number.

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, 3260692804 + ... + 3260696252.

It is an arithmetic number, because the mean of its divisors is an integer number (43258993400).

Almost surely, 2^{11246135427072} is an apocalyptic number.

11246135427072 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 11246135427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20764316832000).

11246135427072 is an abundant number, since it is smaller than the sum of its proper divisors (30282498236928).

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

11246135427072 is an frugal number, since it uses more digits than its factorization.

11246135427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 11246135427072 in words is "eleven trillion, two hundred forty-six billion, one hundred thirty-five million, four hundred twenty-seven thousand, seventy-two".