94742439291864 has 1536 divisors, whose sum is σ = 350578575360000. Its totient is φ = 23432064155136.

The previous prime is 94742439291823. The next prime is 94742439291901. The reversal of 94742439291864 is 46819293424749.

94742439291864 is a `hidden beast` number, since 9 + 4 + 7 + 4 + 2 + 439 + 2 + 9 + 186 + 4 = 666.

It is a super-2 number, since 2×94742439291864² (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 94742439291792 and 94742439291801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40505530807 + ... + 40505533145.

It is an arithmetic number, because the mean of its divisors is an integer number (228241260000).

Almost surely, 2^{94742439291864} 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 94742439291864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175289287680000).

94742439291864 is an abundant number, since it is smaller than the sum of its proper divisors (255836136068136).

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

94742439291864 is a wasteful number, since it uses less digits than its factorization.

94742439291864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2486 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 94742439291864 in words is "ninety-four trillion, seven hundred forty-two billion, four hundred thirty-nine million, two hundred ninety-one thousand, eight hundred sixty-four".