952449224348160 has 7680 divisors, whose sum is σ = 4682858506444800. Its totient is φ = 181446900940800.

The previous prime is 952449224348147. The next prime is 952449224348161. The reversal of 952449224348160 is 61843422944259.

952449224348160 is a `hidden beast` number, since 9 + 5 + 2 + 4 + 4 + 9 + 224 + 348 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×952449224348160² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952449224348161) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 30724168527345 + ... + 30724168527375.

It is an arithmetic number, because the mean of its divisors is an integer number (609747201360).

Almost surely, 2^{952449224348160} is an apocalyptic number.

952449224348160 is a gapful number since it is divisible by the number (90) 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 952449224348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341429253222400).

952449224348160 is an abundant number, since it is smaller than the sum of its proper divisors (3730409282096640).

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

952449224348160 is an frugal number, since it uses more digits than its factorization.

952449224348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 952449224348160 in words is "nine hundred fifty-two trillion, four hundred forty-nine billion, two hundred twenty-four million, three hundred forty-eight thousand, one hundred sixty".