18479981340072 has 384 divisors, whose sum is σ = 60685685481600. Its totient is φ = 5194306123776.

The previous prime is 18479981340061. The next prime is 18479981340109. The reversal of 18479981340072 is 27004318997481.

18479981340072 is a `hidden beast` number, since 1 + 8 + 4 + 79 + 98 + 1 + 3 + 400 + 72 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18479981339991 and 18479981340009.

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, 548139088 + ... + 548172800.

It is an arithmetic number, because the mean of its divisors is an integer number (158035639275).

Almost surely, 2^{18479981340072} is an apocalyptic number.

18479981340072 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 18479981340072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30342842740800).

18479981340072 is an abundant number, since it is smaller than the sum of its proper divisors (42205704141528).

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

18479981340072 is a wasteful number, since it uses less digits than its factorization.

18479981340072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34582 (or 34565 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 18479981340072 in words is "eighteen trillion, four hundred seventy-nine billion, nine hundred eighty-one million, three hundred forty thousand, seventy-two".