146364004684800 has 7920 divisors, whose sum is σ = 722332903235328. Its totient is φ = 28589005209600.

The previous prime is 146364004684789. The next prime is 146364004684813. The reversal of 146364004684800 is 8486400463641.

It is a happy number.

146364004684800 is a `hidden beast` number, since 1 + 4 + 63 + 6 + 40 + 0 + 4 + 68 + 480 + 0 = 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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 3569853772780 + ... + 3569853772820.

Almost surely, 2^{146364004684800} is an apocalyptic number.

146364004684800 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 146364004684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361166451617664).

146364004684800 is an abundant number, since it is smaller than the sum of its proper divisors (575968898550528).

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

146364004684800 is a wasteful number, since it uses less digits than its factorization.

146364004684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 146364004684800 in words is "one hundred forty-six trillion, three hundred sixty-four billion, four million, six hundred eighty-four thousand, eight hundred".