146961106744320 has 1584 divisors, whose sum is σ = 607805835009984. Its totient is φ = 32447751782400.

The previous prime is 146961106744313. The next prime is 146961106744393. The reversal of 146961106744320 is 23447601169641.

It is a happy number.

146961106744320 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 6 + 110 + 67 + 443 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8280889687 + ... + 8280907433.

Almost surely, 2^{146961106744320} is an apocalyptic number.

146961106744320 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 146961106744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303902917504992).

146961106744320 is an abundant number, since it is smaller than the sum of its proper divisors (460844728265664).

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

146961106744320 is a wasteful number, since it uses less digits than its factorization.

146961106744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17868 (or 17816 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 146961106744320 in words is "one hundred forty-six trillion, nine hundred sixty-one billion, one hundred six million, seven hundred forty-four thousand, three hundred twenty".