496738963449344 has 1920 divisors, whose sum is σ = 1443071029542912. Its totient is φ = 166235553792000.

The previous prime is 496738963449307. The next prime is 496738963449353. The reversal of 496738963449344 is 443944369837694.

Its product of digits (40633270272) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

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, 6996323428829 + ... + 6996323428899.

Almost surely, 2^{496738963449344} is an apocalyptic number.

496738963449344 is a gapful number since it is divisible by the number (44) 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 496738963449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721535514771456).

496738963449344 is an abundant number, since it is smaller than the sum of its proper divisors (946332066093568).

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

496738963449344 is an frugal number, since it uses more digits than its factorization.

496738963449344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 162 counting only the distinct ones).

The product of its digits is 40633270272, while the sum is 83.

The spelling of 496738963449344 in words is "four hundred ninety-six trillion, seven hundred thirty-eight billion, nine hundred sixty-three million, four hundred forty-nine thousand, three hundred forty-four".