501066322416 has 240 divisors, whose sum is σ = 1544797912320. Its totient is φ = 150353280000.

The previous prime is 501066322391. The next prime is 501066322457. The reversal of 501066322416 is 614223660105.

501066322416 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 6 + 632 + 2 + 4 + 16 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 79166740 + ... + 79173068.

It is an arithmetic number, because the mean of its divisors is an integer number (6436657968).

Almost surely, 2^501066322416 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 501066322416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772398956160).

501066322416 is an abundant number, since it is smaller than the sum of its proper divisors (1043731589904).

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

501066322416 is a wasteful number, since it uses less digits than its factorization.

501066322416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 501066322416 in words is "five hundred one billion, sixty-six million, three hundred twenty-two thousand, four hundred sixteen".