496901862912 has 640 divisors, whose sum is σ = 1723457691648. Its totient is φ = 123686092800.

The previous prime is 496901862869. The next prime is 496901862917. The reversal of 496901862912 is 219268109694.

It is a super-2 number, since 2×496901862912² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496901862917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177653898 + ... + 177656694.

Almost surely, 2^496901862912 is an apocalyptic number.

496901862912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496901862912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861728845824).

496901862912 is an abundant number, since it is smaller than the sum of its proper divisors (1226555828736).

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

496901862912 is a wasteful number, since it uses less digits than its factorization.

496901862912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 496901862912 in words is "four hundred ninety-six billion, nine hundred one million, eight hundred sixty-two thousand, nine hundred twelve".