146992242862080 has 3840 divisors, whose sum is σ = 691931606446080. Its totient is φ = 29180522004480.

The previous prime is 146992242862079. The next prime is 146992242862121. The reversal of 146992242862080 is 80268242299641.

146992242862080 is a `hidden beast` number, since 1 + 4 + 6 + 99 + 22 + 428 + 6 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 146992242861999 and 146992242862017.

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 319 ways as a sum of consecutive naturals, for example, 177741526627 + ... + 177741527453.

It is an arithmetic number, because the mean of its divisors is an integer number (180190522512).

Almost surely, 2^{146992242862080} is an apocalyptic number.

146992242862080 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 146992242862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345965803223040).

146992242862080 is an abundant number, since it is smaller than the sum of its proper divisors (544939363584000).

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

146992242862080 is an equidigital number, since it uses as much as digits as its factorization.

146992242862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 146992242862080 in words is "one hundred forty-six trillion, nine hundred ninety-two billion, two hundred forty-two million, eight hundred sixty-two thousand, eighty".