18957366450000 has 1440 divisors, whose sum is σ = 75366654225408. Its totient is φ = 4443120000000.

The previous prime is 18957366449951. The next prime is 18957366450007. The reversal of 18957366450000 is 5466375981.

18957366450000 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 73 + 6 + 64 + 500 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18957366450007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18567449490 + ... + 18567450510.

Almost surely, 2^{18957366450000} is an apocalyptic number.

18957366450000 is a gapful number since it is divisible by the number (10) 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 18957366450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37683327112704).

18957366450000 is an abundant number, since it is smaller than the sum of its proper divisors (56409287775408).

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

18957366450000 is a wasteful number, since it uses less digits than its factorization.

18957366450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 18957366450000 in words is "eighteen trillion, nine hundred fifty-seven billion, three hundred sixty-six million, four hundred fifty thousand".