146495775096 has 384 divisors, whose sum is σ = 458844710400. Its totient is φ = 43477560000.

The previous prime is 146495775071. The next prime is 146495775109. The reversal of 146495775096 is 690577594641.

146495775096 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 9 + 577 + 50 + 9 + 6 = 666.

It is a super-2 number, since 2×146495775096² (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 95 ways as a sum of consecutive naturals, for example, 970170621 + ... + 970170771.

It is an arithmetic number, because the mean of its divisors is an integer number (1194908100).

Almost surely, 2^146495775096 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 146495775096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229422355200).

146495775096 is an abundant number, since it is smaller than the sum of its proper divisors (312348935304).

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

146495775096 is an equidigital number, since it uses as much as digits as its factorization.

146495775096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 146495775096 in words is "one hundred forty-six billion, four hundred ninety-five million, seven hundred seventy-five thousand, ninety-six".