146064616556560 has 80 divisors (see below), whose sum is σ = 366688298571840. Its totient is φ = 53789250977280.

The previous prime is 146064616556519. The next prime is 146064616556567. The reversal of 146064616556560 is 65655616460641.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (146064616556567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184891786 + ... + 185680105.

It is an arithmetic number, because the mean of its divisors is an integer number (4583603732148).

Almost surely, 2^{146064616556560} is an apocalyptic number.

146064616556560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146064616556560 is an abundant number, since it is smaller than the sum of its proper divisors (220623682015280).

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

146064616556560 is a wasteful number, since it uses less digits than its factorization.

146064616556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370572296 (or 370572290 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 61.

The spelling of 146064616556560 in words is "one hundred forty-six trillion, sixty-four billion, six hundred sixteen million, five hundred fifty-six thousand, five hundred sixty".