44561146500 has 576 divisors, whose sum is σ = 162938280960. Its totient is φ = 10158566400.

The previous prime is 44561146493. The next prime is 44561146517. The reversal of 44561146500 is 564116544.

44561146500 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 1 + 146 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52240074 + ... + 52240926.

It is an arithmetic number, because the mean of its divisors is an integer number (282878960).

Almost surely, 2^44561146500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44561146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81469140480).

44561146500 is an abundant number, since it is smaller than the sum of its proper divisors (118377134460).

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

44561146500 is a wasteful number, since it uses less digits than its factorization.

44561146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 44561146500 in words is "forty-four billion, five hundred sixty-one million, one hundred forty-six thousand, five hundred".