475510146048 has 1056 divisors, whose sum is σ = 1751063408640. Its totient is φ = 121164595200.

The previous prime is 475510146043. The next prime is 475510146079. The reversal of 475510146048 is 840641015574.

475510146048 is a `hidden beast` number, since 4 + 75 + 510 + 1 + 4 + 60 + 4 + 8 = 666.

It is a super-2 number, since 2×475510146048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 475510145994 and 475510146012.

It is not an unprimeable number, because it can be changed into a prime (475510146043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2847366061 + ... + 2847366227.

Almost surely, 2^475510146048 is an apocalyptic number.

475510146048 is a gapful number since it is divisible by the number (48) 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 475510146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875531704320).

475510146048 is an abundant number, since it is smaller than the sum of its proper divisors (1275553262592).

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

475510146048 is a wasteful number, since it uses less digits than its factorization.

475510146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 475510146048 in words is "four hundred seventy-five billion, five hundred ten million, one hundred forty-six thousand, forty-eight".