951182217216 has 1248 divisors, whose sum is σ = 3638581119360. Its totient is φ = 245806202880.

The previous prime is 951182217187. The next prime is 951182217217. The reversal of 951182217216 is 612712281159.

It is a super-2 number, since 2×951182217216² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (951182217217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4828336030 + ... + 4828336226.

Almost surely, 2^951182217216 is an apocalyptic number.

951182217216 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 951182217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819290559680).

951182217216 is an abundant number, since it is smaller than the sum of its proper divisors (2687398902144).

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

951182217216 is an equidigital number, since it uses as much as digits as its factorization.

951182217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 220 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 951182217216 in words is "nine hundred fifty-one billion, one hundred eighty-two million, two hundred seventeen thousand, two hundred sixteen".