94866951479040 has 1296 divisors, whose sum is σ = 369513582197760. Its totient is φ = 23293004267520.

The previous prime is 94866951479011. The next prime is 94866951479051. The reversal of 94866951479040 is 4097415966849.

94866951479040 is a `hidden beast` number, since 9 + 4 + 8 + 6 + 69 + 51 + 479 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×94866951479040³ (a number of 43 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 94866951479040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23076366585 + ... + 23076370695.

Almost surely, 2^{94866951479040} is an apocalyptic number.

94866951479040 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 94866951479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184756791098880).

94866951479040 is an abundant number, since it is smaller than the sum of its proper divisors (274646630718720).

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

94866951479040 is a wasteful number, since it uses less digits than its factorization.

94866951479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 94866951479040 in words is "ninety-four trillion, eight hundred sixty-six billion, nine hundred fifty-one million, four hundred seventy-nine thousand, forty".