478777749146496 has 512 divisors, whose sum is σ = 1447114522560000. Its totient is φ = 157749601904640.

The previous prime is 478777749146483. The next prime is 478777749146513. The reversal of 478777749146496 is 694641947777874.

It is a happy number.

478777749146496 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 7 + 7 + 74 + 9 + 1 + 46 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8910615951 + ... + 8910669681.

It is an arithmetic number, because the mean of its divisors is an integer number (2826395551875).

Almost surely, 2^{478777749146496} 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 478777749146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723557261280000).

478777749146496 is an abundant number, since it is smaller than the sum of its proper divisors (968336773413504).

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

478777749146496 is an equidigital number, since it uses as much as digits as its factorization.

478777749146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54134 (or 54104 counting only the distinct ones).

The product of its digits is 100370866176, while the sum is 90.

The spelling of 478777749146496 in words is "four hundred seventy-eight trillion, seven hundred seventy-seven billion, seven hundred forty-nine million, one hundred forty-six thousand, four hundred ninety-six".