18436534272 has 624 divisors, whose sum is σ = 63542239488. Its totient is φ = 5096079360.

The previous prime is 18436534217. The next prime is 18436534279. The reversal of 18436534272 is 27243563481.

18436534272 is a `hidden beast` number, since 1 + 8 + 43 + 6 + 534 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (18436534279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252555228 + ... + 252555300.

It is an arithmetic number, because the mean of its divisors is an integer number (101830512).

Almost surely, 2^18436534272 is an apocalyptic number.

18436534272 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 18436534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31771119744).

18436534272 is an abundant number, since it is smaller than the sum of its proper divisors (45105705216).

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

18436534272 is a wasteful number, since it uses less digits than its factorization.

18436534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 18436534272 in words is "eighteen billion, four hundred thirty-six million, five hundred thirty-four thousand, two hundred seventy-two".