146561795362992 has 160 divisors (see below), whose sum is σ = 418909651637760. Its totient is φ = 43918996746240.

The previous prime is 146561795362987. The next prime is 146561795363017. The reversal of 146561795362992 is 299263597165641.

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, 7799367 + ... + 18813657.

It is an arithmetic number, because the mean of its divisors is an integer number (2618185322736).

Almost surely, 2^{146561795362992} is an apocalyptic number.

146561795362992 is a gapful number since it is divisible by the number (12) 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 146561795362992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209454825818880).

146561795362992 is an abundant number, since it is smaller than the sum of its proper divisors (272347856274768).

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

146561795362992 is a wasteful number, since it uses less digits than its factorization.

146561795362992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015051 (or 11015045 counting only the distinct ones).

The product of its digits is 1322697600, while the sum is 75.

The spelling of 146561795362992 in words is "one hundred forty-six trillion, five hundred sixty-one billion, seven hundred ninety-five million, three hundred sixty-two thousand, nine hundred ninety-two".