32478117267456 has 2304 divisors, whose sum is σ = 124480032768000. Its totient is φ = 8307246366720.

The previous prime is 32478117267451. The next prime is 32478117267469. The reversal of 32478117267456 is 65476271187423.

32478117267456 is a `hidden beast` number, since 3 + 2 + 4 + 7 + 8 + 1 + 172 + 6 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 32478117267393 and 32478117267402.

It is not an unprimeable number, because it can be changed into a prime (32478117267451) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 75007199016 + ... + 75007199448.

It is an arithmetic number, because the mean of its divisors is an integer number (54027792000).

Almost surely, 2^{32478117267456} is an apocalyptic number.

32478117267456 is a gapful number since it is divisible by the number (36) 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 32478117267456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62240016384000).

32478117267456 is an abundant number, since it is smaller than the sum of its proper divisors (92001915500544).

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

32478117267456 is a wasteful number, since it uses less digits than its factorization.

32478117267456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 542 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 32478117267456 in words is "thirty-two trillion, four hundred seventy-eight billion, one hundred seventeen million, two hundred sixty-seven thousand, four hundred fifty-six".