146982904992 has 1152 divisors, whose sum is σ = 586152806400. Its totient is φ = 35001331200.

The previous prime is 146982904931. The next prime is 146982904993. The reversal of 146982904992 is 299409289641.

146982904992 is a `hidden beast` number, since 1 + 4 + 69 + 82 + 9 + 0 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (146982904993) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4741384017 + ... + 4741384047.

It is an arithmetic number, because the mean of its divisors is an integer number (508813200).

Almost surely, 2^146982904992 is an apocalyptic number.

146982904992 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 146982904992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293076403200).

146982904992 is an abundant number, since it is smaller than the sum of its proper divisors (439169901408).

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

146982904992 is a wasteful number, since it uses less digits than its factorization.

146982904992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 146982904992 in words is "one hundred forty-six billion, nine hundred eighty-two million, nine hundred four thousand, nine hundred ninety-two".