146663350661152 has 192 divisors, whose sum is σ = 328856632473600. Its totient is φ = 63827318338560.

The previous prime is 146663350661143. The next prime is 146663350661227. The reversal of 146663350661152 is 251166053366641.

It is a junction number, because it is equal to n+sod(n) for n = 146663350661093 and 146663350661102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7663052799 + ... + 7663071937.

It is an arithmetic number, because the mean of its divisors is an integer number (1712794960800).

Almost surely, 2^{146663350661152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146663350661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164428316236800).

146663350661152 is an abundant number, since it is smaller than the sum of its proper divisors (182193281812448).

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

146663350661152 is a wasteful number, since it uses less digits than its factorization.

146663350661152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679 (or 23671 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 55.

The spelling of 146663350661152 in words is "one hundred forty-six trillion, six hundred sixty-three billion, three hundred fifty million, six hundred sixty-one thousand, one hundred fifty-two".