146006906895 has 48 divisors (see below), whose sum is σ = 256781596032. Its totient is φ = 76732945920.

The previous prime is 146006906887. The next prime is 146006906917. The reversal of 146006906895 is 598609600641.

It is a happy number.

146006906895 is a `hidden beast` number, since 1 + 460 + 0 + 6 + 90 + 6 + 8 + 95 = 666.

146006906895 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146006906895 - 2³ = 146006906887 is a prime.

It is a super-2 number, since 2×146006906895² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3649450 + ... + 3689240.

It is an arithmetic number, because the mean of its divisors is an integer number (5349616584).

Almost surely, 2^146006906895 is an apocalyptic number.

146006906895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146006906895 is a deficient number, since it is larger than the sum of its proper divisors (110774689137).

146006906895 is a wasteful number, since it uses less digits than its factorization.

146006906895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40992 (or 40989 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 146006906895 in words is "one hundred forty-six billion, six million, nine hundred six thousand, eight hundred ninety-five".