496098497664 has 1536 divisors, whose sum is σ = 1961094758400. Its totient is φ = 122943744000.

The previous prime is 496098497627. The next prime is 496098497669. The reversal of 496098497664 is 466794890694.

496098497664 is a `hidden beast` number, since 4 + 9 + 609 + 8 + 4 + 9 + 7 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×496098497664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 496098497592 and 496098497601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496098497669) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6987302749 + ... + 6987302819.

It is an arithmetic number, because the mean of its divisors is an integer number (1276754400).

Almost surely, 2^496098497664 is an apocalyptic number.

496098497664 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 496098497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980547379200).

496098497664 is an abundant number, since it is smaller than the sum of its proper divisors (1464996260736).

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

496098497664 is a wasteful number, since it uses less digits than its factorization.

496098497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 496098497664 in words is "four hundred ninety-six billion, ninety-eight million, four hundred ninety-seven thousand, six hundred sixty-four".