18146272320 has 448 divisors, whose sum is σ = 70155694080. Its totient is φ = 4378982400.

The previous prime is 18146272307. The next prime is 18146272337. The reversal of 18146272320 is 2327264181.

It is a happy number.

18146272320 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 627 + 2 + 3 + 20 = 666.

It is a super-2 number, since 2×18146272320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 40962019 + ... + 40962461.

Almost surely, 2^18146272320 is an apocalyptic number.

18146272320 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 18146272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35077847040).

18146272320 is an abundant number, since it is smaller than the sum of its proper divisors (52009421760).

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

18146272320 is a wasteful number, since it uses less digits than its factorization.

18146272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18146272320 in words is "eighteen billion, one hundred forty-six million, two hundred seventy-two thousand, three hundred twenty".