89514084352 has 288 divisors, whose sum is σ = 230106108960. Its totient is φ = 34420162560.

The previous prime is 89514084347. The next prime is 89514084377. The reversal of 89514084352 is 25348041598.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 89514084296 and 89514084305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91620888 + ... + 91621864.

It is an arithmetic number, because the mean of its divisors is an integer number (798979545).

Almost surely, 2^89514084352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89514084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115053054480).

89514084352 is an abundant number, since it is smaller than the sum of its proper divisors (140592024608).

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

89514084352 is a wasteful number, since it uses less digits than its factorization.

89514084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 89514084352 in words is "eighty-nine billion, five hundred fourteen million, eighty-four thousand, three hundred fifty-two".