501048086448 has 480 divisors, whose sum is σ = 1667713259520. Its totient is φ = 128420812800.

The previous prime is 501048086431. The next prime is 501048086489. The reversal of 501048086448 is 844680840105.

It is a happy number.

It is a super-3 number, since 3×501048086448³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 501048086397 and 501048086406.

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 95 ways as a sum of consecutive naturals, for example, 216996718 + ... + 216999026.

It is an arithmetic number, because the mean of its divisors is an integer number (3474402624).

Almost surely, 2^501048086448 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 501048086448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833856629760).

501048086448 is an abundant number, since it is smaller than the sum of its proper divisors (1166665173072).

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

501048086448 is a wasteful number, since it uses less digits than its factorization.

501048086448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 501048086448 in words is "five hundred one billion, forty-eight million, eighty-six thousand, four hundred forty-eight".