84951395406 has 128 divisors (see below), whose sum is σ = 204086937600. Its totient is φ = 26108231040.

The previous prime is 84951395363. The next prime is 84951395407. The reversal of 84951395406 is 60459315948.

84951395406 is a `hidden beast` number, since 8 + 4 + 95 + 1 + 3 + 9 + 540 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84951395407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8723316 + ... + 8733048.

It is an arithmetic number, because the mean of its divisors is an integer number (1594429200).

Almost surely, 2^84951395406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84951395406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102043468800).

84951395406 is an abundant number, since it is smaller than the sum of its proper divisors (119135542194).

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

84951395406 is a wasteful number, since it uses less digits than its factorization.

84951395406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 84951395406 in words is "eighty-four billion, nine hundred fifty-one million, three hundred ninety-five thousand, four hundred six".