146494853120 has 624 divisors, whose sum is σ = 466319265408. Its totient is φ = 43599790080.

The previous prime is 146494853059. The next prime is 146494853137. The reversal of 146494853120 is 21358494641.

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, 253890272 + ... + 253890848.

Almost surely, 2^146494853120 is an apocalyptic number.

146494853120 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 146494853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233159632704).

146494853120 is an abundant number, since it is smaller than the sum of its proper divisors (319824412288).

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

146494853120 is a wasteful number, since it uses less digits than its factorization.

146494853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 146494853120 in words is "one hundred forty-six billion, four hundred ninety-four million, eight hundred fifty-three thousand, one hundred twenty".