18947949774336 has 960 divisors, whose sum is σ = 66061771776000. Its totient is φ = 5364051517440.

The previous prime is 18947949774329. The next prime is 18947949774367. The reversal of 18947949774336 is 63347794974981.

18947949774336 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 7 + 94 + 97 + 7 + 433 + 6 = 666.

It is a super-3 number, since 3×18947949774336³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1353514665 + ... + 1353528663.

It is an arithmetic number, because the mean of its divisors is an integer number (68814345600).

Almost surely, 2^{18947949774336} is an apocalyptic number.

18947949774336 is a gapful number since it is divisible by the number (16) 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 18947949774336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030885888000).

18947949774336 is an abundant number, since it is smaller than the sum of its proper divisors (47113822001664).

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

18947949774336 is a wasteful number, since it uses less digits than its factorization.

18947949774336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14109 (or 14081 counting only the distinct ones).

The product of its digits is 6913299456, while the sum is 81.

The spelling of 18947949774336 in words is "eighteen trillion, nine hundred forty-seven billion, nine hundred forty-nine million, seven hundred seventy-four thousand, three hundred thirty-six".