496945152000 has 1920 divisors, whose sum is σ = 2159161804800. Its totient is φ = 111476736000.

The previous prime is 496945151953. The next prime is 496945152049. The reversal of 496945152000 is 251549694.

496945152000 is a `hidden beast` number, since 49 + 6 + 94 + 515 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11556863979 + ... + 11556864021.

It is an arithmetic number, because the mean of its divisors is an integer number (1124563440).

Almost surely, 2^496945152000 is an apocalyptic number.

496945152000 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 496945152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079580902400).

496945152000 is an abundant number, since it is smaller than the sum of its proper divisors (1662216652800).

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

496945152000 is a wasteful number, since it uses less digits than its factorization.

496945152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 496945152000 in words is "four hundred ninety-six billion, nine hundred forty-five million, one hundred fifty-two thousand".