495146649600 has 1440 divisors, whose sum is σ = 1990700712000. Its totient is φ = 121261916160.

The previous prime is 495146649581. The next prime is 495146649607. The reversal of 495146649600 is 6946641594.

495146649600 is a `hidden beast` number, since 4 + 9 + 5 + 146 + 6 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×495146649600² (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 not an unprimeable number, because it can be changed into a prime (495146649607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2766182311 + ... + 2766182489.

It is an arithmetic number, because the mean of its divisors is an integer number (1382431050).

Almost surely, 2^495146649600 is an apocalyptic number.

495146649600 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 495146649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995350356000).

495146649600 is an abundant number, since it is smaller than the sum of its proper divisors (1495554062400).

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

495146649600 is a wasteful number, since it uses less digits than its factorization.

495146649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 495146649600 in words is "four hundred ninety-five billion, one hundred forty-six million, six hundred forty-nine thousand, six hundred".