970454263812000 has 3840 divisors, whose sum is σ = 3858768702996480. Its totient is φ = 212517043200000.

The previous prime is 970454263811999. The next prime is 970454263812037. The reversal of 970454263812000 is 218362454079.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 7641372155937 + ... + 7641372156063.

It is an arithmetic number, because the mean of its divisors is an integer number (1004887683072).

It is a 1-persistent number, because it is pandigital, but 2⋅970454263812000 = 1940908527624000 is not.

Almost surely, 2^{970454263812000} 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 970454263812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929384351498240).

970454263812000 is an abundant number, since it is smaller than the sum of its proper divisors (2888314439184480).

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

970454263812000 is a wasteful number, since it uses less digits than its factorization.

970454263812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 970454263812000 in words is "nine hundred seventy trillion, four hundred fifty-four billion, two hundred sixty-three million, eight hundred twelve thousand".