503145515244672 has 224 divisors, whose sum is σ = 1509415559545500. Its totient is φ = 166982783993856.

The previous prime is 503145515244667. The next prime is 503145515244737. The reversal of 503145515244672 is 276442515541305.

503145515244672 is a `hidden beast` number, since 5 + 0 + 3 + 1 + 4 + 5 + 5 + 1 + 524 + 46 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 415513000466496 + 87632514778176 = 20384136^2 + 9361224^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9595354 + ... + 33141542.

Almost surely, 2^{503145515244672} 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 503145515244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754707779772750).

503145515244672 is an abundant number, since it is smaller than the sum of its proper divisors (1006270044300828).

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

503145515244672 is an equidigital number, since it uses as much as digits as its factorization.

503145515244672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23546450 (or 23546423 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 503145515244672 in words is "five hundred three trillion, one hundred forty-five billion, five hundred fifteen million, two hundred forty-four thousand, six hundred seventy-two".