146845486959696 has 1920 divisors, whose sum is σ = 543094839705600. Its totient is φ = 37448919889920.

The previous prime is 146845486959683. The next prime is 146845486959749. The reversal of 146845486959696 is 696959684548641.

146845486959696 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 4 + 5 + 4 + 8 + 6 + 9 + 596 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 288498009490 + ... + 288498009998.

It is an arithmetic number, because the mean of its divisors is an integer number (282861895680).

Almost surely, 2^{146845486959696} is an apocalyptic number.

146845486959696 is a gapful number since it is divisible by the number (16) 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 146845486959696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271547419852800).

146845486959696 is an abundant number, since it is smaller than the sum of its proper divisors (396249352745904).

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

146845486959696 is a wasteful number, since it uses less digits than its factorization.

146845486959696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 881 counting only the distinct ones).

The product of its digits is 96745881600, while the sum is 90.

The spelling of 146845486959696 in words is "one hundred forty-six trillion, eight hundred forty-five billion, four hundred eighty-six million, nine hundred fifty-nine thousand, six hundred ninety-six".