496601945280 has 224 divisors, whose sum is σ = 2002173166080. Its totient is φ = 113509002240.

The previous prime is 496601945269. The next prime is 496601945351. The reversal of 496601945280 is 82549106694.

496601945280 is a `hidden beast` number, since 4 + 9 + 6 + 601 + 9 + 4 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×496601945280² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4045026 + ... + 4165985.

Almost surely, 2^496601945280 is an apocalyptic number.

496601945280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496601945280 is an abundant number, since it is smaller than the sum of its proper divisors (1505571220800).

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

496601945280 is a wasteful number, since it uses less digits than its factorization.

496601945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211044 (or 8211028 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 496601945280 in words is "four hundred ninety-six billion, six hundred one million, nine hundred forty-five thousand, two hundred eighty".