146044221610644 has 1152 divisors, whose sum is σ = 480990846615552. Its totient is φ = 36404400291840.

The previous prime is 146044221610591. The next prime is 146044221610673. The reversal of 146044221610644 is 446016122440641.

146044221610644 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 4 + 4 + 2 + 21 + 610 + 6 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146044221610644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 176595188959 + ... + 176595189785.

It is an arithmetic number, because the mean of its divisors is an integer number (417526776576).

Almost surely, 2^{146044221610644} is an apocalyptic number.

146044221610644 is a gapful number since it is divisible by the number (14) 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 146044221610644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240495423307776).

146044221610644 is an abundant number, since it is smaller than the sum of its proper divisors (334946625004908).

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

146044221610644 is a wasteful number, since it uses less digits than its factorization.

146044221610644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 146044221610644 in words is "one hundred forty-six trillion, forty-four billion, two hundred twenty-one million, six hundred ten thousand, six hundred forty-four".