18916413903072 has 1008 divisors, whose sum is σ = 66965395127904. Its totient is φ = 5239842048000.

The previous prime is 18916413903061. The next prime is 18916413903119. The reversal of 18916413903072 is 27030931461981.

18916413903072 is a `hidden beast` number, since 1 + 89 + 164 + 13 + 90 + 307 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×18916413903072² (a number of 27 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 4950642922 + ... + 4950646742.

It is an arithmetic number, because the mean of its divisors is an integer number (66433923738).

Almost surely, 2^{18916413903072} is an apocalyptic number.

18916413903072 is a gapful number since it is divisible by the number (12) 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 18916413903072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33482697563952).

18916413903072 is an abundant number, since it is smaller than the sum of its proper divisors (48048981224832).

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

18916413903072 is an equidigital number, since it uses as much as digits as its factorization.

18916413903072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 18916413903072 in words is "eighteen trillion, nine hundred sixteen billion, four hundred thirteen million, nine hundred three thousand, seventy-two".