496681016832 has 1440 divisors, whose sum is σ = 2007838990080. Its totient is φ = 118609920000.

The previous prime is 496681016801. The next prime is 496681016833. The reversal of 496681016832 is 238610186694.

496681016832 is a `hidden beast` number, since 496 + 68 + 1 + 0 + 1 + 68 + 32 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496681016833) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1978808707 + ... + 1978808957.

It is an arithmetic number, because the mean of its divisors is an integer number (1394332632).

Almost surely, 2^496681016832 is an apocalyptic number.

496681016832 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 496681016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003919495040).

496681016832 is an abundant number, since it is smaller than the sum of its proper divisors (1511157973248).

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

496681016832 is a wasteful number, since it uses less digits than its factorization.

496681016832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 496681016832 in words is "four hundred ninety-six billion, six hundred eighty-one million, sixteen thousand, eight hundred thirty-two".