477364845312 has 432 divisors, whose sum is σ = 1476367317152. Its totient is φ = 153718456320.

The previous prime is 477364845281. The next prime is 477364845379. The reversal of 477364845312 is 213548463774.

477364845312 is a `hidden beast` number, since 4 + 77 + 36 + 4 + 8 + 4 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361365612 + ... + 361366932.

Almost surely, 2^477364845312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477364845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738183658576).

477364845312 is an abundant number, since it is smaller than the sum of its proper divisors (999002471840).

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

477364845312 is a wasteful number, since it uses less digits than its factorization.

477364845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1520 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

It can be divided in two parts, 4773648 and 45312, that added together give a triangular number (4818960 = T₃₁₀₄).

The spelling of 477364845312 in words is "four hundred seventy-seven billion, three hundred sixty-four million, eight hundred forty-five thousand, three hundred twelve".