146849779440 has 1920 divisors, whose sum is σ = 704294922240. Its totient is φ = 27518828544.

The previous prime is 146849779403. The next prime is 146849779469. The reversal of 146849779440 is 44977948641.

146849779440 is a `hidden beast` number, since 1 + 46 + 84 + 9 + 7 + 79 + 440 = 666.

146849779440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 571399792 + ... + 571400048.

It is an arithmetic number, because the mean of its divisors is an integer number (366820272).

Almost surely, 2^146849779440 is an apocalyptic number.

146849779440 is a gapful number since it is divisible by the number (10) 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 146849779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352147461120).

146849779440 is an abundant number, since it is smaller than the sum of its proper divisors (557445142800).

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

146849779440 is a wasteful number, since it uses less digits than its factorization.

146849779440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 146849779440 in words is "one hundred forty-six billion, eight hundred forty-nine million, seven hundred seventy-nine thousand, four hundred forty".