146716440012660 has 384 divisors, whose sum is σ = 480419052825600. Its totient is φ = 32760347443200.

The previous prime is 146716440012613. The next prime is 146716440012661. The reversal of 146716440012660 is 66210044617641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146716440012661) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11383067496 + ... + 11383080384.

It is an arithmetic number, because the mean of its divisors is an integer number (1251091283400).

Almost surely, 2^{146716440012660} is an apocalyptic number.

146716440012660 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 146716440012660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240209526412800).

146716440012660 is an abundant number, since it is smaller than the sum of its proper divisors (333702612812940).

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

146716440012660 is a wasteful number, since it uses less digits than its factorization.

146716440012660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131 (or 15129 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 146716440012660 in words is "one hundred forty-six trillion, seven hundred sixteen billion, four hundred forty million, twelve thousand, six hundred sixty".