146473920000 has 500 divisors, whose sum is σ = 546404403996. Its totient is φ = 39052800000.

The previous prime is 146473919989. The next prime is 146473920013. The reversal of 146473920000 is 29374641.

146473920000 is a `hidden beast` number, since 1 + 4 + 647 + 3 + 9 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25917175 + ... + 25922825.

Almost surely, 2^146473920000 is an apocalyptic number.

146473920000 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 146473920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273202201998).

146473920000 is an abundant number, since it is smaller than the sum of its proper divisors (399930483996).

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

146473920000 is an frugal number, since it uses more digits than its factorization.

146473920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 146473920000 in words is "one hundred forty-six billion, four hundred seventy-three million, nine hundred twenty thousand".