53414388144 has 320 divisors, whose sum is σ = 179562257280. Its totient is φ = 15049359360.

The previous prime is 53414388067. The next prime is 53414388187. The reversal of 53414388144 is 44188341435.

53414388144 is a `hidden beast` number, since 534 + 1 + 4 + 38 + 81 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53414388144.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3524904 + ... + 3540024.

It is an arithmetic number, because the mean of its divisors is an integer number (561132054).

Almost surely, 2^53414388144 is an apocalyptic number.

53414388144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53414388144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89781128640).

53414388144 is an abundant number, since it is smaller than the sum of its proper divisors (126147869136).

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

53414388144 is a wasteful number, since it uses less digits than its factorization.

53414388144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15205 (or 15193 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 53414388144 in words is "fifty-three billion, four hundred fourteen million, three hundred eighty-eight thousand, one hundred forty-four".