146720280649344 has 512 divisors, whose sum is σ = 431534615040000. Its totient is φ = 43960850841600.

The previous prime is 146720280649273. The next prime is 146720280649357. The reversal of 146720280649344 is 443946082027641.

It is a super-3 number, since 3×146720280649344³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19181625232 + ... + 19181632880.

It is an arithmetic number, because the mean of its divisors is an integer number (842841045000).

Almost surely, 2^{146720280649344} 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 146720280649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215767307520000).

146720280649344 is an abundant number, since it is smaller than the sum of its proper divisors (284814334390656).

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

146720280649344 is a wasteful number, since it uses less digits than its factorization.

146720280649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 146720280649344 in words is "one hundred forty-six trillion, seven hundred twenty billion, two hundred eighty million, six hundred forty-nine thousand, three hundred forty-four".