146518412976 has 240 divisors, whose sum is σ = 459150924960. Its totient is φ = 44963942400.

The previous prime is 146518412891. The next prime is 146518412977. The reversal of 146518412976 is 679214815641.

146518412976 is a `hidden beast` number, since 1 + 46 + 518 + 4 + 12 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (146518412977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20264530 + ... + 20271758.

It is an arithmetic number, because the mean of its divisors is an integer number (1913128854).

Almost surely, 2^146518412976 is an apocalyptic number.

146518412976 is a gapful number since it is divisible by the number (16) 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 146518412976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229575462480).

146518412976 is an abundant number, since it is smaller than the sum of its proper divisors (312632511984).

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

146518412976 is a wasteful number, since it uses less digits than its factorization.

146518412976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7648 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 146518412976 in words is "one hundred forty-six billion, five hundred eighteen million, four hundred twelve thousand, nine hundred seventy-six".