94449735072 has 480 divisors, whose sum is σ = 364557473280. Its totient is φ = 23240286720.

The previous prime is 94449735067. The next prime is 94449735077. The reversal of 94449735072 is 27053794449.

94449735072 is a `hidden beast` number, since 9 + 4 + 44 + 97 + 3 + 507 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (94449735067) and next prime (94449735077).

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

It is not an unprimeable number, because it can be changed into a prime (94449735077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3779643 + ... + 3804549.

It is an arithmetic number, because the mean of its divisors is an integer number (759494736).

Almost surely, 2^94449735072 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 94449735072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182278736640).

94449735072 is an abundant number, since it is smaller than the sum of its proper divisors (270107738208).

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

94449735072 is a wasteful number, since it uses less digits than its factorization.

94449735072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24966 (or 24949 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 94449735072 in words is "ninety-four billion, four hundred forty-nine million, seven hundred thirty-five thousand, seventy-two".