89946453421440 has 6144 divisors, whose sum is σ = 443454455808000. Its totient is φ = 17206434201600.

The previous prime is 89946453421403. The next prime is 89946453421471. The reversal of 89946453421440 is 4412435464998.

89946453421440 is a `hidden beast` number, since 8 + 9 + 9 + 46 + 4 + 534 + 2 + 14 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 708239790657 + ... + 708239790783.

It is an arithmetic number, because the mean of its divisors is an integer number (72176832000).

Almost surely, 2^{89946453421440} is an apocalyptic number.

89946453421440 is a gapful number since it is divisible by the number (80) 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 89946453421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221727227904000).

89946453421440 is an abundant number, since it is smaller than the sum of its proper divisors (353508002386560).

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

89946453421440 is a wasteful number, since it uses less digits than its factorization.

89946453421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 89946453421440 in words is "eighty-nine trillion, nine hundred forty-six billion, four hundred fifty-three million, four hundred twenty-one thousand, four hundred forty".