146815070688 has 144 divisors (see below), whose sum is σ = 490495941936. Its totient is φ = 41067141120.

The previous prime is 146815070653. The next prime is 146815070737. The reversal of 146815070688 is 886070518641.

It is a happy number.

146815070688 is a `hidden beast` number, since 1 + 468 + 1 + 50 + 70 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×146815070688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1741245 + ... + 1823612.

It is an arithmetic number, because the mean of its divisors is an integer number (3406221819).

Almost surely, 2^146815070688 is an apocalyptic number.

146815070688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146815070688 is an abundant number, since it is smaller than the sum of its proper divisors (343680871248).

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

146815070688 is a wasteful number, since it uses less digits than its factorization.

146815070688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564897 (or 3564886 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 146815070688 in words is "one hundred forty-six billion, eight hundred fifteen million, seventy thousand, six hundred eighty-eight".