89894023146000 has 240 divisors, whose sum is σ = 318655979735808. Its totient is φ = 23613952032000.

The previous prime is 89894023145999. The next prime is 89894023146001. The reversal of 89894023146000 is 64132049898.

89894023146000 is a `hidden beast` number, since 8 + 9 + 8 + 9 + 4 + 0 + 23 + 1 + 4 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89894023145999) and next prime (89894023146001).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (89894023146001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36063496 + ... + 38475495.

Almost surely, 2^{89894023146000} is an apocalyptic number.

89894023146000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89894023146000 is an abundant number, since it is smaller than the sum of its proper divisors (228761956589808).

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

89894023146000 is a wasteful number, since it uses less digits than its factorization.

89894023146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74539087 (or 74539068 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 89894023146000 in words is "eighty-nine trillion, eight hundred ninety-four billion, twenty-three million, one hundred forty-six thousand".