146079884640 has 192 divisors, whose sum is σ = 462803507712. Its totient is φ = 38730854400.

The previous prime is 146079884623. The next prime is 146079884641. The reversal of 146079884640 is 46488970641.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146079884641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73295484 + ... + 73297476.

It is an arithmetic number, because the mean of its divisors is an integer number (2410434936).

Almost surely, 2^146079884640 is an apocalyptic number.

146079884640 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 146079884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231401753856).

146079884640 is an abundant number, since it is smaller than the sum of its proper divisors (316723623072).

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

146079884640 is a wasteful number, since it uses less digits than its factorization.

146079884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 146079884640 in words is "one hundred forty-six billion, seventy-nine million, eight hundred eighty-four thousand, six hundred forty".