64091887146 has 192 divisors, whose sum is σ = 171793440000. Its totient is φ = 17521007616.

The previous prime is 64091887133. The next prime is 64091887163. The reversal of 64091887146 is 64178819046.

64091887146 is a `hidden beast` number, since 6 + 409 + 18 + 87 + 146 = 666.

64091887146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64091887092 and 64091887101.

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, 11145480 + ... + 11151228.

It is an arithmetic number, because the mean of its divisors is an integer number (894757500).

Almost surely, 2^64091887146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64091887146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85896720000).

64091887146 is an abundant number, since it is smaller than the sum of its proper divisors (107701552854).

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

64091887146 is a wasteful number, since it uses less digits than its factorization.

64091887146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 64091887146 in words is "sixty-four billion, ninety-one million, eight hundred eighty-seven thousand, one hundred forty-six".