501244162165152 has 1152 divisors, whose sum is σ = 1722782859033600. Its totient is φ = 138107320565760.

The previous prime is 501244162165139. The next prime is 501244162165213. The reversal of 501244162165152 is 251561261442105.

501244162165152 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 4 + 4 + 1 + 621 + 6 + 5 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 501244162165098 and 501244162165107.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118862734948 + ... + 118862739164.

It is an arithmetic number, because the mean of its divisors is an integer number (1495471231800).

Almost surely, 2^{501244162165152} 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 501244162165152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861391429516800).

501244162165152 is an abundant number, since it is smaller than the sum of its proper divisors (1221538696868448).

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

501244162165152 is a wasteful number, since it uses less digits than its factorization.

501244162165152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 501244162165152 in words is "five hundred one trillion, two hundred forty-four billion, one hundred sixty-two million, one hundred sixty-five thousand, one hundred fifty-two".