477131010048 has 1404 divisors, whose sum is σ = 1840524580440. Its totient is φ = 118536929280.

The previous prime is 477131010023. The next prime is 477131010067. The reversal of 477131010048 is 840010131774.

477131010048 is a `hidden beast` number, since 477 + 131 + 0 + 10 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 477131009994 and 477131010021.

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 107 ways as a sum of consecutive naturals, for example, 8086966243 + ... + 8086966301.

Almost surely, 2^477131010048 is an apocalyptic number.

477131010048 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 477131010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920262290220).

477131010048 is an abundant number, since it is smaller than the sum of its proper divisors (1363393570392).

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

477131010048 is a wasteful number, since it uses less digits than its factorization.

477131010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 477131010048 in words is "four hundred seventy-seven billion, one hundred thirty-one million, ten thousand, forty-eight".