146898385920 has 880 divisors, whose sum is σ = 618678533088. Its totient is φ = 32859095040.

The previous prime is 146898385873. The next prime is 146898385987. The reversal of 146898385920 is 29583898641.

146898385920 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 9 + 8 + 38 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59303722 + ... + 59306198.

Almost surely, 2^146898385920 is an apocalyptic number.

146898385920 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 146898385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309339266544).

146898385920 is an abundant number, since it is smaller than the sum of its proper divisors (471780147168).

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

146898385920 is a wasteful number, since it uses less digits than its factorization.

146898385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 146898385920 in words is "one hundred forty-six billion, eight hundred ninety-eight million, three hundred eighty-five thousand, nine hundred twenty".