18078645165120 has 224 divisors, whose sum is σ = 63781658202240. Its totient is φ = 4820653393920.

The previous prime is 18078645164971. The next prime is 18078645165169. The reversal of 18078645165120 is 2156154687081.

18078645165120 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 8 + 6 + 451 + 65 + 120 = 666.

It is a super-2 number, since 2×18078645165120² (a number of 27 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149333734 + ... + 149454746.

Almost surely, 2^{18078645165120} is an apocalyptic number.

18078645165120 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 18078645165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31890829101120).

18078645165120 is an abundant number, since it is smaller than the sum of its proper divisors (45703013037120).

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

18078645165120 is a wasteful number, since it uses less digits than its factorization.

18078645165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138330 (or 138314 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 18078645165120 in words is "eighteen trillion, seventy-eight billion, six hundred forty-five million, one hundred sixty-five thousand, one hundred twenty".