53504631144 has 96 divisors (see below), whose sum is σ = 149057574120. Its totient is φ = 17325715968.

The previous prime is 53504631127. The next prime is 53504631151. The reversal of 53504631144 is 44113640535.

53504631144 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 4 + 631 + 14 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47246239044 + 6258392100 = 217362^2 + 79110^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53504631099 and 53504631108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1724214 + ... + 1754970.

Almost surely, 2^53504631144 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 53504631144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74528787060).

53504631144 is an abundant number, since it is smaller than the sum of its proper divisors (95552942976).

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

53504631144 is a wasteful number, since it uses less digits than its factorization.

53504631144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31459 (or 31452 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 53504631144 in words is "fifty-three billion, five hundred four million, six hundred thirty-one thousand, one hundred forty-four".