496119616312320 has 7040 divisors, whose sum is σ = 2594954480025600. Its totient is φ = 87200287948800.

The previous prime is 496119616312211. The next prime is 496119616312337. The reversal of 496119616312320 is 23213616911694.

496119616312320 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 1 + 9 + 616 + 3 + 12 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a super-2 number, since 2×496119616312320² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 244514349066 + ... + 244514351094.

It is an arithmetic number, because the mean of its divisors is an integer number (368601488640).

Almost surely, 2^{496119616312320} is an apocalyptic number.

496119616312320 is a gapful number since it is divisible by the number (40) 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 496119616312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297477240012800).

496119616312320 is an abundant number, since it is smaller than the sum of its proper divisors (2098834863713280).

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

496119616312320 is a wasteful number, since it uses less digits than its factorization.

496119616312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 496119616312320 in words is "four hundred ninety-six trillion, one hundred nineteen billion, six hundred sixteen million, three hundred twelve thousand, three hundred twenty".