36601488144 has 240 divisors, whose sum is σ = 114682993152. Its totient is φ = 11234018304.

The previous prime is 36601488103. The next prime is 36601488151. The reversal of 36601488144 is 44188410663.

36601488144 is a `hidden beast` number, since 36 + 601 + 4 + 8 + 8 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36601488144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30679612 + ... + 30680804.

Almost surely, 2^36601488144 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 36601488144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57341496576).

36601488144 is an abundant number, since it is smaller than the sum of its proper divisors (78081505008).

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

36601488144 is a wasteful number, since it uses less digits than its factorization.

36601488144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 36601488144 in words is "thirty-six billion, six hundred one million, four hundred eighty-eight thousand, one hundred forty-four".