473046545664 has 1728 divisors, whose sum is σ = 1918187712000. Its totient is φ = 114449448960.

The previous prime is 473046545557. The next prime is 473046545677. The reversal of 473046545664 is 466545640374.

It is a happy number.

473046545664 is a `hidden beast` number, since 4 + 7 + 30 + 4 + 6 + 545 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a self number, because there is not a number n which added to its sum of digits gives 473046545664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4876768464 + ... + 4876768560.

Almost surely, 2^473046545664 is an apocalyptic number.

473046545664 is a gapful number since it is divisible by the number (44) 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 473046545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959093856000).

473046545664 is an abundant number, since it is smaller than the sum of its proper divisors (1445141166336).

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

473046545664 is a wasteful number, since it uses less digits than its factorization.

473046545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 473046545664 in words is "four hundred seventy-three billion, forty-six million, five hundred forty-five thousand, six hundred sixty-four".