94654418040 has 768 divisors, whose sum is σ = 397397145600. Its totient is φ = 18990968832.

The previous prime is 94654418029. The next prime is 94654418077. The reversal of 94654418040 is 4081445649.

94654418040 is a `hidden beast` number, since 9 + 465 + 4 + 4 + 180 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 202685887 + ... + 202686353.

It is an arithmetic number, because the mean of its divisors is an integer number (517444200).

Almost surely, 2^94654418040 is an apocalyptic number.

94654418040 is a gapful number since it is divisible by the number (90) 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 94654418040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198698572800).

94654418040 is an abundant number, since it is smaller than the sum of its proper divisors (302742727560).

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

94654418040 is a wasteful number, since it uses less digits than its factorization.

94654418040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 94654418040 in words is "ninety-four billion, six hundred fifty-four million, four hundred eighteen thousand, forty".