473146071552 has 960 divisors, whose sum is σ = 1863638219520. Its totient is φ = 115617300480.

The previous prime is 473146071491. The next prime is 473146071553. The reversal of 473146071552 is 255170641374.

473146071552 is a `hidden beast` number, since 4 + 7 + 31 + 4 + 60 + 7 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 473146071498 and 473146071507.

It is not an unprimeable number, because it can be changed into a prime (473146071553) 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, 199050588 + ... + 199052964.

It is an arithmetic number, because the mean of its divisors is an integer number (1941289812).

Almost surely, 2^473146071552 is an apocalyptic number.

473146071552 is a gapful number since it is divisible by the number (42) 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 473146071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931819109760).

473146071552 is an abundant number, since it is smaller than the sum of its proper divisors (1390492147968).

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

473146071552 is a wasteful number, since it uses less digits than its factorization.

473146071552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 473146071552 in words is "four hundred seventy-three billion, one hundred forty-six million, seventy-one thousand, five hundred fifty-two".