89746014624 has 96 divisors (see below), whose sum is σ = 269409442176. Its totient is φ = 25625395200.

The previous prime is 89746014623. The next prime is 89746014641. The reversal of 89746014624 is 42641064798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×89746014624² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89746014623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034164 + ... + 1117580.

It is an arithmetic number, because the mean of its divisors is an integer number (2806348356).

Almost surely, 2^89746014624 is an apocalyptic number.

89746014624 is a gapful number since it is divisible by the number (84) 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 89746014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134704721088).

89746014624 is an abundant number, since it is smaller than the sum of its proper divisors (179663427552).

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

89746014624 is a wasteful number, since it uses less digits than its factorization.

89746014624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85038 (or 85030 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 89746014624 in words is "eighty-nine billion, seven hundred forty-six million, fourteen thousand, six hundred twenty-four".