146328453450 has 192 divisors, whose sum is σ = 433472256000. Its totient is φ = 36180354240.

The previous prime is 146328453407. The next prime is 146328453517. The reversal of 146328453450 is 54354823641.

146328453450 is a `hidden beast` number, since 1 + 4 + 6 + 32 + 84 + 534 + 5 + 0 = 666.

It is a super-3 number, since 3×146328453450³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146328453396 and 146328453405.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1144861 + ... + 1266239.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668000).

Almost surely, 2^146328453450 is an apocalyptic number.

146328453450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146328453450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216736128000).

146328453450 is an abundant number, since it is smaller than the sum of its proper divisors (287143802550).

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

146328453450 is a wasteful number, since it uses less digits than its factorization.

146328453450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121466 (or 121455 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 146328453450 in words is "one hundred forty-six billion, three hundred twenty-eight million, four hundred fifty-three thousand, four hundred fifty".