146461031808 has 512 divisors, whose sum is σ = 494470932480. Its totient is φ = 37380096000.

The previous prime is 146461031797. The next prime is 146461031813. The reversal of 146461031808 is 808130164641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 146461031808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216337966 + ... + 216338642.

It is an arithmetic number, because the mean of its divisors is an integer number (965763540).

Almost surely, 2^146461031808 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 146461031808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247235466240).

146461031808 is an abundant number, since it is smaller than the sum of its proper divisors (348009900672).

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

146461031808 is a wasteful number, since it uses less digits than its factorization.

146461031808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 146461031808 in words is "one hundred forty-six billion, four hundred sixty-one million, thirty-one thousand, eight hundred eight".