952129497312 has 672 divisors, whose sum is σ = 3343942877184. Its totient is φ = 261012326400.

The previous prime is 952129497283. The next prime is 952129497331. The reversal of 952129497312 is 213794921259.

It is a happy number.

952129497312 is a `hidden beast` number, since 9 + 521 + 2 + 9 + 49 + 73 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 642895612 + ... + 642897092.

It is an arithmetic number, because the mean of its divisors is an integer number (4976105472).

Almost surely, 2^952129497312 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 952129497312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671971438592).

952129497312 is an abundant number, since it is smaller than the sum of its proper divisors (2391813379872).

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

952129497312 is a wasteful number, since it uses less digits than its factorization.

952129497312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1651 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

It can be divided in two parts, 952129 and 497312, that added together give a palindrome (1449441).

The spelling of 952129497312 in words is "nine hundred fifty-two billion, one hundred twenty-nine million, four hundred ninety-seven thousand, three hundred twelve".