18976138272 has 504 divisors, whose sum is σ = 70225437996. Its totient is φ = 5000776704.

The previous prime is 18976138249. The next prime is 18976138301. The reversal of 18976138272 is 27283167981.

It is a happy number.

18976138272 is a `hidden beast` number, since 18 + 9 + 7 + 613 + 8 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18724090896 + 252047376 = 136836^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14859298 + ... + 14860574.

Almost surely, 2^18976138272 is an apocalyptic number.

18976138272 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 18976138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112718998).

18976138272 is an abundant number, since it is smaller than the sum of its proper divisors (51249299724).

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

18976138272 is a wasteful number, since it uses less digits than its factorization.

18976138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1302 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 18976138272 in words is "eighteen billion, nine hundred seventy-six million, one hundred thirty-eight thousand, two hundred seventy-two".