146821581984 has 864 divisors, whose sum is σ = 521588325888. Its totient is φ = 35978342400.

The previous prime is 146821581967. The next prime is 146821582021. The reversal of 146821581984 is 489185128641.

146821581984 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 935169234 + ... + 935169390.

It is an arithmetic number, because the mean of its divisors is an integer number (603690192).

Almost surely, 2^146821581984 is an apocalyptic number.

146821581984 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 146821581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260794162944).

146821581984 is an abundant number, since it is smaller than the sum of its proper divisors (374766743904).

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

146821581984 is a wasteful number, since it uses less digits than its factorization.

146821581984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 264 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 57.

The spelling of 146821581984 in words is "one hundred forty-six billion, eight hundred twenty-one million, five hundred eighty-one thousand, nine hundred eighty-four".