11642361424512 has 1536 divisors, whose sum is σ = 42145347686400. Its totient is φ = 2764623052800.

The previous prime is 11642361424511. The next prime is 11642361424537. The reversal of 11642361424512 is 21542416324611.

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

It is not an unprimeable number, because it can be changed into a prime (11642361424511) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45301017088 + ... + 45301017344.

It is an arithmetic number, because the mean of its divisors is an integer number (27438377400).

Almost surely, 2^{11642361424512} is an apocalyptic number.

11642361424512 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 11642361424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21072673843200).

11642361424512 is an abundant number, since it is smaller than the sum of its proper divisors (30502986261888).

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

11642361424512 is a wasteful number, since it uses less digits than its factorization.

11642361424512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 403 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 11642361424512 in words is "eleven trillion, six hundred forty-two billion, three hundred sixty-one million, four hundred twenty-four thousand, five hundred twelve".