146351550314640 has 320 divisors, whose sum is σ = 500050319802624. Its totient is φ = 35112729600000.

The previous prime is 146351550314639. The next prime is 146351550314747. The reversal of 146351550314640 is 46413055153641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146351550314640.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 624087010 + ... + 624321470.

Almost surely, 2^{146351550314640} is an apocalyptic number.

146351550314640 is a gapful number since it is divisible by the number (10) 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 146351550314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250025159901312).

146351550314640 is an abundant number, since it is smaller than the sum of its proper divisors (353698769487984).

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

146351550314640 is a wasteful number, since it uses less digits than its factorization.

146351550314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236930 (or 236924 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 146351550314640 in words is "one hundred forty-six trillion, three hundred fifty-one billion, five hundred fifty million, three hundred fourteen thousand, six hundred forty".