181051952004 has 405 divisors, whose sum is σ = 607160614599. Its totient is φ = 46873300320.

The previous prime is 181051951999. The next prime is 181051952009. The reversal of 181051952004 is 400259150181.

The square root of 181051952004 is 425502.

It is a perfect power (a square), and thus also a powerful number.

181051952004 is a `hidden beast` number, since 1 + 81 + 0 + 51 + 9 + 520 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (181051951999) and next prime (181051952009).

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

It is a self number, because there is not a number n which added to its sum of digits gives 181051952004.

It is not an unprimeable number, because it can be changed into a prime (181051952009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 589745619 + ... + 589745925.

Almost surely, 2^181051952004 is an apocalyptic number.

181051952004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

181051952004 is the 425502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181051952004

181051952004 is an abundant number, since it is smaller than the sum of its proper divisors (426108662595).

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

181051952004 is a wasteful number, since it uses less digits than its factorization.

181051952004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Multiplying 181051952004 by its sum of digits (36), we get a square (6517870272144 = 2553012²).

181051952004 divided by its sum of digits (36) gives a square (5029220889 = 70917²).

The spelling of 181051952004 in words is "one hundred eighty-one billion, fifty-one million, nine hundred fifty-two thousand, four".