146314511165640 has 512 divisors, whose sum is σ = 502602630912000. Its totient is φ = 33838615904256.

The previous prime is 146314511165629. The next prime is 146314511165681. The reversal of 146314511165640 is 46561115413641.

It is a self number, because there is not a number n which added to its sum of digits gives 146314511165640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5247431139 + ... + 5247459021.

It is an arithmetic number, because the mean of its divisors is an integer number (981645763500).

Almost surely, 2^{146314511165640} is an apocalyptic number.

146314511165640 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 146314511165640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251301315456000).

146314511165640 is an abundant number, since it is smaller than the sum of its proper divisors (356288119746360).

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

146314511165640 is a wasteful number, since it uses less digits than its factorization.

146314511165640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31629 (or 31625 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 146314511165640 in words is "one hundred forty-six trillion, three hundred fourteen billion, five hundred eleven million, one hundred sixty-five thousand, six hundred forty".