146552264064 has 384 divisors, whose sum is σ = 476066640000. Its totient is φ = 44257010688.

The previous prime is 146552264017. The next prime is 146552264071. The reversal of 146552264064 is 460462255641.

146552264064 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 522 + 64 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×146552264064² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34734147 + ... + 34738365.

It is an arithmetic number, because the mean of its divisors is an integer number (1239756875).

Almost surely, 2^146552264064 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 146552264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238033320000).

146552264064 is an abundant number, since it is smaller than the sum of its proper divisors (329514375936).

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

146552264064 is a wasteful number, since it uses less digits than its factorization.

146552264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 146552264064 in words is "one hundred forty-six billion, five hundred fifty-two million, two hundred sixty-four thousand, sixty-four".