9149696962560 has 2496 divisors, whose sum is σ = 41898812889600. Its totient is φ = 1896219279360.

The previous prime is 9149696962543. The next prime is 9149696962583. The reversal of 9149696962560 is 652696969419.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24141680451 + ... + 24141680829.

Almost surely, 2^{9149696962560} is an apocalyptic number.

9149696962560 is a gapful number since it is divisible by the number (90) 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 9149696962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20949406444800).

9149696962560 is an abundant number, since it is smaller than the sum of its proper divisors (32749115927040).

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

9149696962560 is an equidigital number, since it uses as much as digits as its factorization.

9149696962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 9149696962560 in words is "nine trillion, one hundred forty-nine billion, six hundred ninety-six million, nine hundred sixty-two thousand, five hundred sixty".