970146201600 has 1215 divisors, whose sum is σ = 3808575615117. Its totient is φ = 245089566720.

The previous prime is 970146201571. The next prime is 970146201643. The reversal of 970146201600 is 6102641079.

The square root of 970146201600 is 984960.

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

970146201600 is a `hidden beast` number, since 9 + 7 + 0 + 1 + 46 + 2 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 349252632576 + 620893569024 = 590976^2 + 787968^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51060326391 + ... + 51060326409.

Almost surely, 2^970146201600 is an apocalyptic number.

970146201600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

970146201600 is the 984960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970146201600

970146201600 is an abundant number, since it is smaller than the sum of its proper divisors (2838429413517).

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

970146201600 is an frugal number, since it uses more digits than its factorization.

970146201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 970146201600 by its sum of digits (36), we get a square (34925263257600 = 5909760²).

970146201600 divided by its sum of digits (36) gives a square (26948505600 = 164160²).

Adding to 970146201600 its reverse (6102641079), we get a palindrome (976248842679).

The spelling of 970146201600 in words is "nine hundred seventy billion, one hundred forty-six million, two hundred one thousand, six hundred".