369540448132968 has 240 divisors, whose sum is σ = 1204084005614820. Its totient is φ = 105579482545152.

The previous prime is 369540448132949. The next prime is 369540448133029. The reversal of 369540448132968 is 869231844045963.

369540448132968 is a `hidden beast` number, since 3 + 6 + 9 + 5 + 40 + 448 + 132 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 320696535632004 + 48843912500964 = 17908002^2 + 6988842^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 369540448132896 and 369540448132905.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1046274096 + ... + 1046627232.

Almost surely, 2^{369540448132968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369540448132968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602042002807410).

369540448132968 is an abundant number, since it is smaller than the sum of its proper divisors (834543557481852).

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

369540448132968 is a wasteful number, since it uses less digits than its factorization.

369540448132968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386126 (or 386106 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 369540448132968 in words is "three hundred sixty-nine trillion, five hundred forty billion, four hundred forty-eight million, one hundred thirty-two thousand, nine hundred sixty-eight".