18954964728000 has 1344 divisors, whose sum is σ = 79755227774976. Its totient is φ = 4206504960000.

The previous prime is 18954964727989. The next prime is 18954964728019. The reversal of 18954964728000 is 82746945981.

18954964728000 is a `hidden beast` number, since 1 + 8 + 9 + 549 + 6 + 4 + 7 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×18954964728000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12885767265 + ... + 12885768735.

Almost surely, 2^{18954964728000} is an apocalyptic number.

18954964728000 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 18954964728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39877613887488).

18954964728000 is an abundant number, since it is smaller than the sum of its proper divisors (60800263046976).

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

18954964728000 is a wasteful number, since it uses less digits than its factorization.

18954964728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 18954964728000 in words is "eighteen trillion, nine hundred fifty-four billion, nine hundred sixty-four million, seven hundred twenty-eight thousand".