9777148416 has 200 divisors, whose sum is σ = 33352091520. Its totient is φ = 2793388032.

The previous prime is 9777148411. The next prime is 9777148417. The reversal of 9777148416 is 6148417779.

It is a happy number.

9777148416 is a `hidden beast` number, since 97 + 7 + 71 + 484 + 1 + 6 = 666.

It is a super-2 number, since 2×9777148416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9777148411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 273465 + ... + 307143.

Almost surely, 2^9777148416 is an apocalyptic number.

9777148416 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 9777148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676045760).

9777148416 is an abundant number, since it is smaller than the sum of its proper divisors (23574943104).

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

9777148416 is an equidigital number, since it uses as much as digits as its factorization.

9777148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33716 (or 33691 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 9777148416 is about 98879.4640762176. The cubic root of 9777148416 is about 2138.3103394785.

The spelling of 9777148416 in words is "nine billion, seven hundred seventy-seven million, one hundred forty-eight thousand, four hundred sixteen".