84949852968 has 192 divisors, whose sum is σ = 239491824000. Its totient is φ = 27182905344.

The previous prime is 84949852961. The next prime is 84949852973. The reversal of 84949852968 is 86925894948.

84949852968 is a `hidden beast` number, since 8 + 4 + 9 + 4 + 98 + 529 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 84949852896 and 84949852905.

It is not an unprimeable number, because it can be changed into a prime (84949852961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92436813 + ... + 92437731.

It is an arithmetic number, because the mean of its divisors is an integer number (1247353250).

Almost surely, 2^84949852968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84949852968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119745912000).

84949852968 is an abundant number, since it is smaller than the sum of its proper divisors (154541971032).

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

84949852968 is a wasteful number, since it uses less digits than its factorization.

84949852968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1449 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 84949852968 in words is "eighty-four billion, nine hundred forty-nine million, eight hundred fifty-two thousand, nine hundred sixty-eight".