84945195972 has 648 divisors, whose sum is σ = 293939073792. Its totient is φ = 20477318400.

The previous prime is 84945195943. The next prime is 84945195977. The reversal of 84945195972 is 27959154948.

84945195972 is a `hidden beast` number, since 8 + 4 + 9 + 451 + 95 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (84945195977) 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 215 ways as a sum of consecutive naturals, for example, 256631847 + ... + 256632177.

Almost surely, 2^84945195972 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 84945195972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146969536896).

84945195972 is an abundant number, since it is smaller than the sum of its proper divisors (208993877820).

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

84945195972 is a wasteful number, since it uses less digits than its factorization.

84945195972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 406 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 84945195972 in words is "eighty-four billion, nine hundred forty-five million, one hundred ninety-five thousand, nine hundred seventy-two".