1477118090448 has 1600 divisors, whose sum is σ = 6170605056000. Its totient is φ = 335240156160.

The previous prime is 1477118090431. The next prime is 1477118090449. The reversal of 1477118090448 is 8440908117741.

1477118090448 is a `hidden beast` number, since 1 + 47 + 71 + 1 + 8 + 0 + 90 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1477118090394 and 1477118090403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1477118090449) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1207781965 + ... + 1207783187.

It is an arithmetic number, because the mean of its divisors is an integer number (3856628160).

Almost surely, 2^{1477118090448} is an apocalyptic number.

1477118090448 is a gapful number since it is divisible by the number (18) 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 1477118090448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085302528000).

1477118090448 is an abundant number, since it is smaller than the sum of its proper divisors (4693486965552).

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

1477118090448 is a wasteful number, since it uses less digits than its factorization.

1477118090448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1477118090448 in words is "one trillion, four hundred seventy-seven billion, one hundred eighteen million, ninety thousand, four hundred forty-eight".