11346596242128 has 480 divisors, whose sum is σ = 38714033309952. Its totient is φ = 3149615923200.

The previous prime is 11346596242109. The next prime is 11346596242171. The reversal of 11346596242128 is 82124269564311.

11346596242128 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 6 + 5 + 9 + 624 + 2 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268900200 + ... + 268942392.

Almost surely, 2^{11346596242128} is an apocalyptic number.

11346596242128 is a gapful number since it is divisible by the number (18) 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 11346596242128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19357016654976).

11346596242128 is an abundant number, since it is smaller than the sum of its proper divisors (27367437067824).

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

11346596242128 is a wasteful number, since it uses less digits than its factorization.

11346596242128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42505 (or 42487 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 11346596242128 in words is "eleven trillion, three hundred forty-six billion, five hundred ninety-six million, two hundred forty-two thousand, one hundred twenty-eight".