953481424896 has 2184 divisors, whose sum is σ = 4000810729440. Its totient is φ = 220723937280.

The previous prime is 953481424849. The next prime is 953481424919. The reversal of 953481424896 is 698424184359.

953481424896 is a `hidden beast` number, since 9 + 5 + 3 + 4 + 8 + 142 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

It is a super-2 number, since 2×953481424896² (a number of 25 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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 32878669810 + ... + 32878669838.

Almost surely, 2^953481424896 is an apocalyptic number.

953481424896 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 953481424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000405364720).

953481424896 is an abundant number, since it is smaller than the sum of its proper divisors (3047329304544).

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

953481424896 is a wasteful number, since it uses less digits than its factorization.

953481424896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 953481424896 in words is "nine hundred fifty-three billion, four hundred eighty-one million, four hundred twenty-four thousand, eight hundred ninety-six".