12046749624 has 320 divisors, whose sum is σ = 42503408640. Its totient is φ = 3102624000.

The previous prime is 12046749613. The next prime is 12046749641. The reversal of 12046749624 is 42694764021.

12046749624 is a `hidden beast` number, since 12 + 0 + 4 + 6 + 7 + 4 + 9 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12046749624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2533249 + ... + 2537999.

It is an arithmetic number, because the mean of its divisors is an integer number (132823152).

Almost surely, 2^12046749624 is an apocalyptic number.

12046749624 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 12046749624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251704320).

12046749624 is an abundant number, since it is smaller than the sum of its proper divisors (30456659016).

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

12046749624 is a wasteful number, since it uses less digits than its factorization.

12046749624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12046749624 in words is "twelve billion, forty-six million, seven hundred forty-nine thousand, six hundred twenty-four".