181205628477696 has 135 divisors (see below), whose sum is σ = 540328176613533. Its totient is φ = 60401230018560.

The previous prime is 181205628477551. The next prime is 181205628477721. The reversal of 181205628477696 is 696774826502181.

The square root of 181205628477696 is 13461264.

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

181205628477696 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 0 + 5 + 62 + 8 + 477 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155220102717696 + 25985525760000 = 12458736^2 + 5097600^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1938375276 + ... + 1938468756.

Almost surely, 2^{181205628477696} is an apocalyptic number.

181205628477696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181205628477696 is the 13461264-th square number.

It is an amenable number.

181205628477696 is an abundant number, since it is smaller than the sum of its proper divisors (359122548135837).

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

181205628477696 is an frugal number, since it uses more digits than its factorization.

181205628477696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186990 (or 93486 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 181205628477696 in words is "one hundred eighty-one trillion, two hundred five billion, six hundred twenty-eight million, four hundred seventy-seven thousand, six hundred ninety-six".