11742198624 has 288 divisors, whose sum is σ = 36778341600. Its totient is φ = 3531939840.

The previous prime is 11742198613. The next prime is 11742198653. The reversal of 11742198624 is 42689124711.

11742198624 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 2 + 19 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 11742198624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43651162 + ... + 43651430.

It is an arithmetic number, because the mean of its divisors is an integer number (127702575).

Almost surely, 2^11742198624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11742198624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18389170800).

11742198624 is an abundant number, since it is smaller than the sum of its proper divisors (25036142976).

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

11742198624 is a wasteful number, since it uses less digits than its factorization.

11742198624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 11742198624 in words is "eleven billion, seven hundred forty-two million, one hundred ninety-eight thousand, six hundred twenty-four".