361766160900 has 405 divisors, whose sum is σ = 1209422600463. Its totient is φ = 93540614400.

The previous prime is 361766160881. The next prime is 361766160907. The reversal of 361766160900 is 9061667163.

The square root of 361766160900 is 601470.

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

361766160900 is a `hidden beast` number, since 36 + 1 + 7 + 6 + 6 + 1 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152273209284 + 209492951616 = 390222^2 + 457704^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (361766160907) 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, 2219424219 + ... + 2219424381.

Almost surely, 2^361766160900 is an apocalyptic number.

361766160900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

361766160900 is the 601470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361766160900

361766160900 is an abundant number, since it is smaller than the sum of its proper divisors (847656439563).

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

361766160900 is a wasteful number, since it uses less digits than its factorization.

361766160900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 361766160900 in words is "three hundred sixty-one billion, seven hundred sixty-six million, one hundred sixty thousand, nine hundred".