146961593856000 has 3744 divisors, whose sum is σ = 684083483486208. Its totient is φ = 29483827200000.

The previous prime is 146961593855987. The next prime is 146961593856019. The reversal of 146961593856000 is 658395169641.

146961593856000 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 6 + 15 + 9 + 3 + 8 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 340978175785 + ... + 340978176215.

It is an arithmetic number, because the mean of its divisors is an integer number (182714605632).

Almost surely, 2^{146961593856000} is an apocalyptic number.

146961593856000 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 146961593856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342041741743104).

146961593856000 is an abundant number, since it is smaller than the sum of its proper divisors (537121889630208).

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

146961593856000 is a wasteful number, since it uses less digits than its factorization.

146961593856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 146961593856000 in words is "one hundred forty-six trillion, nine hundred sixty-one billion, five hundred ninety-three million, eight hundred fifty-six thousand".