9460201153536 has 891 divisors, whose sum is σ = 33385290979131. Its totient is φ = 2572404645888.

The previous prime is 9460201153517. The next prime is 9460201153553. The reversal of 9460201153536 is 6353511020649.

The square root of 9460201153536 is 3075744.

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

9460201153536 is a `hidden beast` number, since 9 + 4 + 60 + 2 + 0 + 1 + 1 + 53 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9460201153491 and 9460201153500.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47538699165 + ... + 47538699363.

Almost surely, 2^{9460201153536} is an apocalyptic number.

9460201153536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9460201153536 is the 3075744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9460201153536

9460201153536 is an abundant number, since it is smaller than the sum of its proper divisors (23925089825595).

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

9460201153536 is a wasteful number, since it uses less digits than its factorization.

9460201153536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 9460201153536 in words is "nine trillion, four hundred sixty billion, two hundred one million, one hundred fifty-three thousand, five hundred thirty-six".