971970361344 has 768 divisors, whose sum is σ = 3147475968000. Its totient is φ = 295466434560.

The previous prime is 971970361337. The next prime is 971970361357. The reversal of 971970361344 is 443163079179.

971970361344 is a `hidden beast` number, since 9 + 7 + 19 + 7 + 0 + 3 + 613 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3508918134 + ... + 3508918410.

It is an arithmetic number, because the mean of its divisors is an integer number (4098276000).

Almost surely, 2^971970361344 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 971970361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573737984000).

971970361344 is an abundant number, since it is smaller than the sum of its proper divisors (2175505606656).

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

971970361344 is a wasteful number, since it uses less digits than its factorization.

971970361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 971970361344 in words is "nine hundred seventy-one billion, nine hundred seventy million, three hundred sixty-one thousand, three hundred forty-four".