954533357945856 has 3168 divisors, whose sum is σ = 3435721600147200. Its totient is φ = 262220037488640.

The previous prime is 954533357945771. The next prime is 954533357945891. The reversal of 954533357945856 is 658549753335459.

954533357945856 is a `hidden beast` number, since 9 + 5 + 4 + 5 + 3 + 33 + 579 + 4 + 5 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×954533357945856² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3396915864436 + ... + 3396915864716.

Almost surely, 2^{954533357945856} is an apocalyptic number.

954533357945856 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 954533357945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717860800073600).

954533357945856 is an abundant number, since it is smaller than the sum of its proper divisors (2481188242201344).

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

954533357945856 is a wasteful number, since it uses less digits than its factorization.

954533357945856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 430 counting only the distinct ones).

The product of its digits is 36741600000, while the sum is 81.

The spelling of 954533357945856 in words is "nine hundred fifty-four trillion, five hundred thirty-three billion, three hundred fifty-seven million, nine hundred forty-five thousand, eight hundred fifty-six".