44671656960 has 1056 divisors, whose sum is σ = 192212317440. Its totient is φ = 9364045824.

The previous prime is 44671656899. The next prime is 44671656971. The reversal of 44671656960 is 6965617644.

44671656960 is a `hidden beast` number, since 4 + 4 + 6 + 7 + 16 + 569 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44671656897 and 44671656906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226759582 + ... + 226759778.

It is an arithmetic number, because the mean of its divisors is an integer number (182019240).

Almost surely, 2^44671656960 is an apocalyptic number.

44671656960 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 44671656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96106158720).

44671656960 is an abundant number, since it is smaller than the sum of its proper divisors (147540660480).

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

44671656960 is a wasteful number, since it uses less digits than its factorization.

44671656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 44671656960 in words is "forty-four billion, six hundred seventy-one million, six hundred fifty-six thousand, nine hundred sixty".