146061463968 has 288 divisors, whose sum is σ = 515806986240. Its totient is φ = 38259786240.

The previous prime is 146061463927. The next prime is 146061463973. The reversal of 146061463968 is 869364160641.

146061463968 is a `hidden beast` number, since 1 + 4 + 60 + 61 + 463 + 9 + 68 = 666.

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

It is a super-3 number, since 3×146061463968³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125921 + ... + 1248927.

It is an arithmetic number, because the mean of its divisors is an integer number (1790996480).

Almost surely, 2^146061463968 is an apocalyptic number.

146061463968 is a gapful number since it is divisible by the number (18) 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 146061463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257903493120).

146061463968 is an abundant number, since it is smaller than the sum of its proper divisors (369745522272).

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

146061463968 is a wasteful number, since it uses less digits than its factorization.

146061463968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123080 (or 123069 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 146061463968 in words is "one hundred forty-six billion, sixty-one million, four hundred sixty-three thousand, nine hundred sixty-eight".