9102494016 has 672 divisors, whose sum is σ = 35233660800. Its totient is φ = 2275983360.

The previous prime is 9102493979. The next prime is 9102494017. The reversal of 9102494016 is 6104942019.

It is a happy number.

9102494016 is a `hidden beast` number, since 9 + 1 + 0 + 249 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9102494016² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9102494017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27010200 + ... + 27010536.

Almost surely, 2^9102494016 is an apocalyptic number.

9102494016 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 9102494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616830400).

9102494016 is an abundant number, since it is smaller than the sum of its proper divisors (26131166784).

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

9102494016 is a wasteful number, since it uses less digits than its factorization.

9102494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9102494016 is about 95406.9914419274. The cubic root of 9102494016 is about 2087.9501903827.

The spelling of 9102494016 in words is "nine billion, one hundred two million, four hundred ninety-four thousand, sixteen".