146418945516 has 96 divisors (see below), whose sum is σ = 402329410560. Its totient is φ = 45890208000.

The previous prime is 146418945509. The next prime is 146418945559. The reversal of 146418945516 is 615549814641.

146418945516 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 1 + 89 + 4 + 551 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1854241 + ... + 1931591.

It is an arithmetic number, because the mean of its divisors is an integer number (4190931360).

Almost surely, 2^146418945516 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 146418945516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201164705280).

146418945516 is an abundant number, since it is smaller than the sum of its proper divisors (255910465044).

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

146418945516 is a wasteful number, since it uses less digits than its factorization.

146418945516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78412 (or 78404 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 146418945516 in words is "one hundred forty-six billion, four hundred eighteen million, nine hundred forty-five thousand, five hundred sixteen".