1971395716096 has 297 divisors, whose sum is σ = 4384914250249. Its totient is φ = 885661106176.

The previous prime is 1971395716091. The next prime is 1971395716117. The reversal of 1971395716096 is 6906175931791.

The square root of 1971395716096 is 1404064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1009301529600 + 962094186496 = 1004640^2 + 980864^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (1971395716091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22150513620 + ... + 22150513708.

Almost surely, 2^{1971395716096} is an apocalyptic number.

1971395716096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1971395716096 is the 1404064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971395716096

1971395716096 is an abundant number, since it is smaller than the sum of its proper divisors (2413518534153).

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

1971395716096 is an frugal number, since it uses more digits than its factorization.

1971395716096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 64.

Multiplying 1971395716096 by its sum of digits (64), we get a square (126169325830144 = 11232512²).

1971395716096 divided by its sum of digits (64) gives a square (30803058064 = 175508²).

The spelling of 1971395716096 in words is "one trillion, nine hundred seventy-one billion, three hundred ninety-five million, seven hundred sixteen thousand, ninety-six".