89245463040 has 1120 divisors, whose sum is σ = 355031495280. Its totient is φ = 21403533312.

The previous prime is 89245463039. The next prime is 89245463059. The reversal of 89245463040 is 4036454298.

89245463040 is a `hidden beast` number, since 8 + 9 + 2 + 4 + 5 + 4 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50269227264 + 38976235776 = 224208^2 + 197424^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 920056272 + ... + 920056368.

Almost surely, 2^89245463040 is an apocalyptic number.

89245463040 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 89245463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515747640).

89245463040 is an abundant number, since it is smaller than the sum of its proper divisors (265786032240).

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

89245463040 is an equidigital number, since it uses as much as digits as its factorization.

89245463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 89245463040 in words is "eighty-nine billion, two hundred forty-five million, four hundred sixty-three thousand, forty".