369187481664 has 441 divisors, whose sum is σ = 1149437950167. Its totient is φ = 117594021888.

The previous prime is 369187481633. The next prime is 369187481669. The reversal of 369187481664 is 466184781963.

It is a happy number.

The square root of 369187481664 is 607608.

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

369187481664 is a `hidden beast` number, since 3 + 6 + 91 + 8 + 7 + 481 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 262440000 + 368925041664 = 16200^2 + 607392^2 .

It is not an unprimeable number, because it can be changed into a prime (369187481669) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3806056464 + ... + 3806056560.

Almost surely, 2^369187481664 is an apocalyptic number.

369187481664 is the 607608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369187481664

369187481664 is an abundant number, since it is smaller than the sum of its proper divisors (780250468503).

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

369187481664 is an frugal number, since it uses more digits than its factorization.

369187481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 131 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 369187481664 in words is "three hundred sixty-nine billion, one hundred eighty-seven million, four hundred eighty-one thousand, six hundred sixty-four".