146247921181440 has 1728 divisors, whose sum is σ = 572740159799808. Its totient is φ = 34212210278400.

The previous prime is 146247921181379. The next prime is 146247921181447. The reversal of 146247921181440 is 44181129742641.

146247921181440 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 479 + 2 + 118 + 14 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (146247921181447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180330358635 + ... + 180330359445.

It is an arithmetic number, because the mean of its divisors is an integer number (331446851736).

Almost surely, 2^{146247921181440} is an apocalyptic number.

146247921181440 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 146247921181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286370079899904).

146247921181440 is an abundant number, since it is smaller than the sum of its proper divisors (426492238618368).

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

146247921181440 is a wasteful number, since it uses less digits than its factorization.

146247921181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 146247921181440 in words is "one hundred forty-six trillion, two hundred forty-seven billion, nine hundred twenty-one million, one hundred eighty-one thousand, four hundred forty".