1477227888864 has 1800 divisors, whose sum is σ = 5936716474920. Its totient is φ = 357187138560.

The previous prime is 1477227888847. The next prime is 1477227888889. The reversal of 1477227888864 is 4688887227741.

1477227888864 is a `hidden beast` number, since 1 + 477 + 2 + 2 + 78 + 8 + 8 + 86 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1477227888792 and 1477227888801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 47652512529 + ... + 47652512559.

Almost surely, 2^{1477227888864} is an apocalyptic number.

1477227888864 is a gapful number since it is divisible by the number (14) 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 1477227888864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968358237460).

1477227888864 is an abundant number, since it is smaller than the sum of its proper divisors (4459488586056).

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

1477227888864 is an equidigital number, since it uses as much as digits as its factorization.

1477227888864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 75 counting only the distinct ones).

The product of its digits is 539492352, while the sum is 72.

The spelling of 1477227888864 in words is "one trillion, four hundred seventy-seven billion, two hundred twenty-seven million, eight hundred eighty-eight thousand, eight hundred sixty-four".