503249129963712 has 336 divisors, whose sum is σ = 1642711651596288. Its totient is φ = 145808255324160.

The previous prime is 503249129963707. The next prime is 503249129963737. The reversal of 503249129963712 is 217369921942305.

503249129963712 is a `hidden beast` number, since 5 + 0 + 3 + 2 + 491 + 29 + 96 + 37 + 1 + 2 = 666.

It is a super-2 number, since 2×503249129963712² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 503249129963712.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348005553 + ... + 349448655.

It is an arithmetic number, because the mean of its divisors is an integer number (4889022772608).

Almost surely, 2^{503249129963712} 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 503249129963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821355825798144).

503249129963712 is an abundant number, since it is smaller than the sum of its proper divisors (1139462521632576).

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

503249129963712 is a wasteful number, since it uses less digits than its factorization.

503249129963712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445548 (or 1445535 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 503249129963712 in words is "five hundred three trillion, two hundred forty-nine billion, one hundred twenty-nine million, nine hundred sixty-three thousand, seven hundred twelve".