146105471191680 has 5120 divisors, whose sum is σ = 720664964490240. Its totient is φ = 27232174080000.

The previous prime is 146105471191663. The next prime is 146105471191709. The reversal of 146105471191680 is 86191174501641.

146105471191680 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 0 + 5 + 471 + 1 + 9 + 168 + 0 = 666.

146105471191680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 319705626012 + ... + 319705626468.

It is an arithmetic number, because the mean of its divisors is an integer number (140754875877).

Almost surely, 2^{146105471191680} is an apocalyptic number.

146105471191680 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 146105471191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360332482245120).

146105471191680 is an abundant number, since it is smaller than the sum of its proper divisors (574559493298560).

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

146105471191680 is a wasteful number, since it uses less digits than its factorization.

146105471191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 146105471191680 in words is "one hundred forty-six trillion, one hundred five billion, four hundred seventy-one million, one hundred ninety-one thousand, six hundred eighty".