952468371456 has 384 divisors, whose sum is σ = 3033921945600. Its totient is φ = 259992944640.

The previous prime is 952468371451. The next prime is 952468371473. The reversal of 952468371456 is 654173864259.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 952468371456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952468371451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105322071 + ... + 105331113.

It is an arithmetic number, because the mean of its divisors is an integer number (7900838400).

Almost surely, 2^952468371456 is an apocalyptic number.

952468371456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952468371456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516960972800).

952468371456 is an abundant number, since it is smaller than the sum of its proper divisors (2081453574144).

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

952468371456 is a wasteful number, since it uses less digits than its factorization.

952468371456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185 (or 9165 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 60.

The spelling of 952468371456 in words is "nine hundred fifty-two billion, four hundred sixty-eight million, three hundred seventy-one thousand, four hundred fifty-six".