97143748416 has 1008 divisors, whose sum is σ = 360993342528. Its totient is φ = 25742914560.

The previous prime is 97143748349. The next prime is 97143748417. The reversal of 97143748416 is 61484734179.

It is a happy number.

97143748416 is a `hidden beast` number, since 9 + 7 + 143 + 7 + 484 + 16 = 666.

It is a super-2 number, since 2×97143748416² (a number of 23 digits) contains 22 as substring.

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

Its product of digits (4064256) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97143748417) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5112828855 + ... + 5112828873.

It is an arithmetic number, because the mean of its divisors is an integer number (358128316).

Almost surely, 2^97143748416 is an apocalyptic number.

97143748416 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 97143748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180496671264).

97143748416 is an abundant number, since it is smaller than the sum of its proper divisors (263849594112).

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

97143748416 is a wasteful number, since it uses less digits than its factorization.

97143748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 48 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 97143748416 in words is "ninety-seven billion, one hundred forty-three million, seven hundred forty-eight thousand, four hundred sixteen".