9061756010496 has 1536 divisors, whose sum is σ = 32819760230400. Its totient is φ = 2354388664320.

The previous prime is 9061756010449. The next prime is 9061756010501. The reversal of 9061756010496 is 6940106571609.

It is a happy number.

9061756010496 is a `hidden beast` number, since 9 + 0 + 61 + 7 + 560 + 10 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 101817483220 + ... + 101817483308.

It is an arithmetic number, because the mean of its divisors is an integer number (21367031400).

Almost surely, 2^{9061756010496} is an apocalyptic number.

9061756010496 is a gapful number since it is divisible by the number (96) 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 9061756010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409880115200).

9061756010496 is an abundant number, since it is smaller than the sum of its proper divisors (23758004219904).

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

9061756010496 is a wasteful number, since it uses less digits than its factorization.

9061756010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 9061756010496 in words is "nine trillion, sixty-one billion, seven hundred fifty-six million, ten thousand, four hundred ninety-six".