496235034624 has 384 divisors, whose sum is σ = 1585059840000. Its totient is φ = 134985252864.

The previous prime is 496235034611. The next prime is 496235034661. The reversal of 496235034624 is 426430532694.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 236413927 + ... + 236416025.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760000).

Almost surely, 2^496235034624 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 496235034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920000).

496235034624 is an abundant number, since it is smaller than the sum of its proper divisors (1088824805376).

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

496235034624 is a wasteful number, since it uses less digits than its factorization.

496235034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 496235034624 in words is "four hundred ninety-six billion, two hundred thirty-five million, thirty-four thousand, six hundred twenty-four".