146576546116 has 288 divisors, whose sum is σ = 360717960960. Its totient is φ = 51209625600.

The previous prime is 146576546071. The next prime is 146576546117. The reversal of 146576546116 is 611645675641.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (146576546117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145268620 + ... + 145269628.

It is an arithmetic number, because the mean of its divisors is an integer number (1252492920).

Almost surely, 2^146576546116 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 146576546116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180358980480).

146576546116 is an abundant number, since it is smaller than the sum of its proper divisors (214141414844).

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

146576546116 is a wasteful number, since it uses less digits than its factorization.

146576546116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1186 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The spelling of 146576546116 in words is "one hundred forty-six billion, five hundred seventy-six million, five hundred forty-six thousand, one hundred sixteen".