9701462016 has 351 divisors, whose sum is σ = 30711507411. Its totient is φ = 3063619584.

The previous prime is 9701462011. The next prime is 9701462041. The reversal of 9701462016 is 6102641079.

The square root of 9701462016 is 98496.

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

9701462016 is a `hidden beast` number, since 9 + 7 + 0 + 14 + 620 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9701462011) 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, 510603255 + ... + 510603273.

Almost surely, 2^9701462016 is an apocalyptic number.

9701462016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9701462016 is the 98496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9701462016

9701462016 is an abundant number, since it is smaller than the sum of its proper divisors (21010045395).

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

9701462016 is an frugal number, since it uses more digits than its factorization.

9701462016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 9701462016 is about 2132.7783778712.

Multiplying 9701462016 by its sum of digits (36), we get a square (349252632576 = 590976²).

9701462016 divided by its sum of digits (36) gives a square (269485056 = 16416²).

The spelling of 9701462016 in words is "nine billion, seven hundred one million, four hundred sixty-two thousand, sixteen".