146207206656 has 648 divisors, whose sum is σ = 528676021440. Its totient is φ = 39665590272.

The previous prime is 146207206559. The next prime is 146207206681. The reversal of 146207206656 is 656602702641.

146207206656 is a `hidden beast` number, since 14 + 620 + 7 + 2 + 0 + 6 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1067205820 + ... + 1067205956.

Almost surely, 2^146207206656 is an apocalyptic number.

146207206656 is a gapful number since it is divisible by the number (16) 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 146207206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264338010720).

146207206656 is an abundant number, since it is smaller than the sum of its proper divisors (382468814784).

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

146207206656 is an equidigital number, since it uses as much as digits as its factorization.

146207206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 146207206656 in words is "one hundred forty-six billion, two hundred seven million, two hundred six thousand, six hundred fifty-six".