147763396518144 has 576 divisors, whose sum is σ = 457586048102400. Its totient is φ = 41858231500800.

The previous prime is 147763396518121. The next prime is 147763396518169. The reversal of 147763396518144 is 441815693367741.

It is a happy number.

It is a super-3 number, since 3×147763396518144³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36278759692 + ... + 36278763764.

It is an arithmetic number, because the mean of its divisors is an integer number (794420222400).

Almost surely, 2^{147763396518144} 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 147763396518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228793024051200).

147763396518144 is an abundant number, since it is smaller than the sum of its proper divisors (309822651584256).

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

147763396518144 is a wasteful number, since it uses less digits than its factorization.

147763396518144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7062 (or 7048 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 69.

The spelling of 147763396518144 in words is "one hundred forty-seven trillion, seven hundred sixty-three billion, three hundred ninety-six million, five hundred eighteen thousand, one hundred forty-four".