4456677456000 has 1024 divisors, whose sum is σ = 20466141696000. Its totient is φ = 926055936000.

The previous prime is 4456677455969. The next prime is 4456677456017. The reversal of 4456677456000 is 6547766544.

4456677456000 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 6 + 7 + 74 + 560 + 0 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 33197011 + ... + 33330989.

It is an arithmetic number, because the mean of its divisors is an integer number (19986466500).

Almost surely, 2^{4456677456000} is an apocalyptic number.

4456677456000 is a gapful number since it is divisible by the number (40) 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 4456677456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10233070848000).

4456677456000 is an abundant number, since it is smaller than the sum of its proper divisors (16009464240000).

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

4456677456000 is a wasteful number, since it uses less digits than its factorization.

4456677456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134035 (or 134007 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 4456677456000 in words is "four trillion, four hundred fifty-six billion, six hundred seventy-seven million, four hundred fifty-six thousand".