89214586146 has 192 divisors, whose sum is σ = 235113016320. Its totient is φ = 23882739840.

The previous prime is 89214586079. The next prime is 89214586159. The reversal of 89214586146 is 64168541298.

89214586146 is a `hidden beast` number, since 8 + 9 + 2 + 14 + 5 + 8 + 614 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 89214586092 and 89214586101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98361825 + ... + 98362731.

It is an arithmetic number, because the mean of its divisors is an integer number (1224546960).

Almost surely, 2^89214586146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89214586146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117556508160).

89214586146 is an abundant number, since it is smaller than the sum of its proper divisors (145898430174).

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

89214586146 is a wasteful number, since it uses less digits than its factorization.

89214586146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1346 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 89214586146 in words is "eighty-nine billion, two hundred fourteen million, five hundred eighty-six thousand, one hundred forty-six".