210941792656 has 135 divisors (see below), whose sum is σ = 487152723969. Its totient is φ = 88226619264.

The previous prime is 210941792653. The next prime is 210941792683. The reversal of 210941792656 is 656297149012.

The square root of 210941792656 is 459284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 154829658256 + 56112134400 = 393484^2 + 236880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210941792653) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 604417570 + ... + 604417918.

Almost surely, 2^210941792656 is an apocalyptic number.

210941792656 is the 459284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210941792656

210941792656 is an abundant number, since it is smaller than the sum of its proper divisors (276210931313).

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

210941792656 is an frugal number, since it uses more digits than its factorization.

210941792656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 210941792656 in words is "two hundred ten billion, nine hundred forty-one million, seven hundred ninety-two thousand, six hundred fifty-six".