146662798464 has 1152 divisors, whose sum is σ = 568437105600. Its totient is φ = 35867639808.

The previous prime is 146662798459. The next prime is 146662798519. The reversal of 146662798464 is 464897266641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 934157874 + ... + 934158030.

Almost surely, 2^146662798464 is an apocalyptic number.

146662798464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146662798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284218552800).

146662798464 is an abundant number, since it is smaller than the sum of its proper divisors (421774307136).

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

146662798464 is a wasteful number, since it uses less digits than its factorization.

146662798464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 146662798464 in words is "one hundred forty-six billion, six hundred sixty-two million, seven hundred ninety-eight thousand, four hundred sixty-four".