146981059872 has 288 divisors, whose sum is σ = 420372457344. Its totient is φ = 44877127680.

The previous prime is 146981059829. The next prime is 146981059891. The reversal of 146981059872 is 278950189641.

It is a super-2 number, since 2×146981059872² (a number of 23 digits) contains 22 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, 239773038 + ... + 239773650.

It is an arithmetic number, because the mean of its divisors is an integer number (1459626588).

Almost surely, 2^146981059872 is an apocalyptic number.

146981059872 is a gapful number since it is divisible by the number (12) 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 146981059872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210186228672).

146981059872 is an abundant number, since it is smaller than the sum of its proper divisors (273391397472).

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

146981059872 is a wasteful number, since it uses less digits than its factorization.

146981059872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 146981059872 in words is "one hundred forty-six billion, nine hundred eighty-one million, fifty-nine thousand, eight hundred seventy-two".