97030083294144 has 1792 divisors, whose sum is σ = 387574605250560. Its totient is φ = 22987060346880.

The previous prime is 97030083294139. The next prime is 97030083294197. The reversal of 97030083294144 is 44149238003079.

97030083294144 is a `hidden beast` number, since 9 + 7 + 0 + 300 + 8 + 3 + 294 + 1 + 44 = 666.

97030083294144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 91279475757 + ... + 91279476819.

It is an arithmetic number, because the mean of its divisors is an integer number (216280471680).

Almost surely, 2^{97030083294144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97030083294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193787302625280).

97030083294144 is an abundant number, since it is smaller than the sum of its proper divisors (290544521956416).

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

97030083294144 is a wasteful number, since it uses less digits than its factorization.

97030083294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 97030083294144 in words is "ninety-seven trillion, thirty billion, eighty-three million, two hundred ninety-four thousand, one hundred forty-four".