97146514944 has 160 divisors (see below), whose sum is σ = 290356535040. Its totient is φ = 32067311616.

The previous prime is 97146514939. The next prime is 97146515021. The reversal of 97146514944 is 44941564179.

It is a happy number.

97146514944 is a `hidden beast` number, since 9 + 7 + 146 + 5 + 1 + 494 + 4 = 666.

It is a super-3 number, since 3×97146514944³ (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1389759 + ... + 1457985.

It is an arithmetic number, because the mean of its divisors is an integer number (1814728344).

Almost surely, 2^97146514944 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 97146514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145178267520).

97146514944 is an abundant number, since it is smaller than the sum of its proper divisors (193210020096).

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

97146514944 is a wasteful number, since it uses less digits than its factorization.

97146514944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68357 (or 68335 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 97146514944 in words is "ninety-seven billion, one hundred forty-six million, five hundred fourteen thousand, nine hundred forty-four".