146051483648 has 192 divisors, whose sum is σ = 371993731200. Its totient is φ = 55809146880.

The previous prime is 146051483609. The next prime is 146051483657. The reversal of 146051483648 is 846384150641.

It is a super-3 number, since 3×146051483648³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 146051483596 and 146051483605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4614758 + ... + 4646298.

It is an arithmetic number, because the mean of its divisors is an integer number (1937467350).

Almost surely, 2^146051483648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146051483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185996865600).

146051483648 is an abundant number, since it is smaller than the sum of its proper divisors (225942247552).

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

146051483648 is a wasteful number, since it uses less digits than its factorization.

146051483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31606 (or 31586 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 50.

The spelling of 146051483648 in words is "one hundred forty-six billion, fifty-one million, four hundred eighty-three thousand, six hundred forty-eight".