97144387956 has 288 divisors, whose sum is σ = 330132741120. Its totient is φ = 23320742400.

The previous prime is 97144387939. The next prime is 97144387981. The reversal of 97144387956 is 65978344179.

97144387956 is a `hidden beast` number, since 9 + 71 + 443 + 8 + 79 + 56 = 666.

It is a super-2 number, since 2×97144387956² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 97144387893 and 97144387902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2136895 + ... + 2181881.

It is an arithmetic number, because the mean of its divisors is an integer number (1146294240).

Almost surely, 2^97144387956 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 97144387956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165066370560).

97144387956 is an abundant number, since it is smaller than the sum of its proper divisors (232988353164).

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

97144387956 is a wasteful number, since it uses less digits than its factorization.

97144387956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45075 (or 45070 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 97144387956 in words is "ninety-seven billion, one hundred forty-four million, three hundred eighty-seven thousand, nine hundred fifty-six".