146349821310560 has 384 divisors, whose sum is σ = 432493343170560. Its totient is φ = 45666942566400.

The previous prime is 146349821310527. The next prime is 146349821310569. The reversal of 146349821310560 is 65013128943641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146349821310569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89566490 + ... + 91185830.

It is an arithmetic number, because the mean of its divisors is an integer number (1126284747840).

Almost surely, 2^{146349821310560} is an apocalyptic number.

146349821310560 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 146349821310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216246671585280).

146349821310560 is an abundant number, since it is smaller than the sum of its proper divisors (286143521860000).

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

146349821310560 is a wasteful number, since it uses less digits than its factorization.

146349821310560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619550 (or 1619542 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 146349821310560 in words is "one hundred forty-six trillion, three hundred forty-nine billion, eight hundred twenty-one million, three hundred ten thousand, five hundred sixty".