146350291968 has 528 divisors, whose sum is σ = 480415834080. Its totient is φ = 44293423104.

The previous prime is 146350291903. The next prime is 146350291981. The reversal of 146350291968 is 869192053641.

146350291968 is a `hidden beast` number, since 1 + 4 + 63 + 502 + 9 + 19 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122673580 + ... + 122674772.

Almost surely, 2^146350291968 is an apocalyptic number.

146350291968 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 146350291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240207917040).

146350291968 is an abundant number, since it is smaller than the sum of its proper divisors (334065542112).

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

146350291968 is a wasteful number, since it uses less digits than its factorization.

146350291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 146350291968 in words is "one hundred forty-six billion, three hundred fifty million, two hundred ninety-one thousand, nine hundred sixty-eight".