11597146315104 has 192 divisors, whose sum is σ = 35108723220480. Its totient is φ = 3283268567040.

The previous prime is 11597146315061. The next prime is 11597146315187. The reversal of 11597146315104 is 40151364179511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315799464 + ... + 315836184.

It is an arithmetic number, because the mean of its divisors is an integer number (182857933440).

Almost surely, 2^{11597146315104} is an apocalyptic number.

11597146315104 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 11597146315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554361610240).

11597146315104 is an abundant number, since it is smaller than the sum of its proper divisors (23511576905376).

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

11597146315104 is a wasteful number, since it uses less digits than its factorization.

11597146315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41013 (or 41005 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 11597146315104 in words is "eleven trillion, five hundred ninety-seven billion, one hundred forty-six million, three hundred fifteen thousand, one hundred four".