18954122812416 has 704 divisors, whose sum is σ = 64147553648640. Its totient is φ = 5472527892480.

The previous prime is 18954122812409. The next prime is 18954122812421. The reversal of 18954122812416 is 61421822145981.

18954122812416 is a `hidden beast` number, since 1 + 8 + 9 + 541 + 2 + 2 + 81 + 2 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×18954122812416³ (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1839665121 + ... + 1839675423.

It is an arithmetic number, because the mean of its divisors is an integer number (91118684160).

Almost surely, 2^{18954122812416} is an apocalyptic number.

18954122812416 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 18954122812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32073776824320).

18954122812416 is an abundant number, since it is smaller than the sum of its proper divisors (45193430836224).

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

18954122812416 is a wasteful number, since it uses less digits than its factorization.

18954122812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10629 (or 10605 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 18954122812416 in words is "eighteen trillion, nine hundred fifty-four billion, one hundred twenty-two million, eight hundred twelve thousand, four hundred sixteen".