968929468416 has 1512 divisors, whose sum is σ = 3780110534760. Its totient is φ = 244431323136.

The previous prime is 968929468387. The next prime is 968929468453. The reversal of 968929468416 is 614864929869.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

968929468416 is a `hidden beast` number, since 9 + 68 + 9 + 2 + 94 + 68 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (322486272) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 42127368181 + ... + 42127368203.

It is an arithmetic number, because the mean of its divisors is an integer number (2500073105).

Almost surely, 2^968929468416 is an apocalyptic number.

968929468416 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 968929468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890055267380).

968929468416 is an abundant number, since it is smaller than the sum of its proper divisors (2811181066344).

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

968929468416 is a wasteful number, since it uses less digits than its factorization.

968929468416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 48 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 968929468416 in words is "nine hundred sixty-eight billion, nine hundred twenty-nine million, four hundred sixty-eight thousand, four hundred sixteen".