146774639869440 has 3840 divisors, whose sum is σ = 595862662348800. Its totient is φ = 30617174016000.

The previous prime is 146774639869411. The next prime is 146774639869537. The reversal of 146774639869440 is 44968936477641.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1120417098175 + ... + 1120417098305.

It is an arithmetic number, because the mean of its divisors is an integer number (155172568320).

Almost surely, 2^{146774639869440} is an apocalyptic number.

146774639869440 is a gapful number since it is divisible by the number (10) 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 146774639869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297931331174400).

146774639869440 is an abundant number, since it is smaller than the sum of its proper divisors (449088022479360).

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

146774639869440 is a wasteful number, since it uses less digits than its factorization.

146774639869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 78.

The spelling of 146774639869440 in words is "one hundred forty-six trillion, seven hundred seventy-four billion, six hundred thirty-nine million, eight hundred sixty-nine thousand, four hundred forty".