18954617763840 has 768 divisors, whose sum is σ = 70339804254720. Its totient is φ = 4306501632000.

The previous prime is 18954617763797. The next prime is 18954617763881. The reversal of 18954617763840 is 4836771645981.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1384451395 + ... + 1384465085.

It is an arithmetic number, because the mean of its divisors is an integer number (91588286790).

Almost surely, 2^{18954617763840} is an apocalyptic number.

18954617763840 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 18954617763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35169902127360).

18954617763840 is an abundant number, since it is smaller than the sum of its proper divisors (51385186490880).

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

18954617763840 is a wasteful number, since it uses less digits than its factorization.

18954617763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13990 (or 13970 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 18954617763840 in words is "eighteen trillion, nine hundred fifty-four billion, six hundred seventeen million, seven hundred sixty-three thousand, eight hundred forty".