146512041984 has 288 divisors, whose sum is σ = 527573329920. Its totient is φ = 38054707200.

The previous prime is 146512041961. The next prime is 146512041989. The reversal of 146512041984 is 489140215641.

146512041984 is a `hidden beast` number, since 1 + 4 + 6 + 512 + 0 + 41 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146512041989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1367649 + ... + 1470879.

It is an arithmetic number, because the mean of its divisors is an integer number (1831851840).

Almost surely, 2^146512041984 is an apocalyptic number.

146512041984 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 146512041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263786664960).

146512041984 is an abundant number, since it is smaller than the sum of its proper divisors (381061287936).

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

146512041984 is a wasteful number, since it uses less digits than its factorization.

146512041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103277 (or 103254 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 146512041984 in words is "one hundred forty-six billion, five hundred twelve million, forty-one thousand, nine hundred eighty-four".