496920124416 has 352 divisors, whose sum is σ = 1403655739200. Its totient is φ = 156067430400.

The previous prime is 496920124411. The next prime is 496920124451. The reversal of 496920124416 is 614421029694.

It is a super-2 number, since 2×496920124416² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496920124411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708872866 + ... + 708873566.

It is an arithmetic number, because the mean of its divisors is an integer number (3987658350).

Almost surely, 2^496920124416 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 496920124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701827869600).

496920124416 is an abundant number, since it is smaller than the sum of its proper divisors (906735614784).

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

496920124416 is a wasteful number, since it uses less digits than its factorization.

496920124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 496920124416 in words is "four hundred ninety-six billion, nine hundred twenty million, one hundred twenty-four thousand, four hundred sixteen".