146908979411040 has 4032 divisors, whose sum is σ = 697911424100352. Its totient is φ = 28838334873600.

The previous prime is 146908979410987. The next prime is 146908979411041. The reversal of 146908979411040 is 40114979809641.

146908979411040 is a `hidden beast` number, since 1 + 4 + 6 + 90 + 8 + 97 + 9 + 411 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146908979411041) by changing a digit.

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 671 ways as a sum of consecutive naturals, for example, 83804322804 + ... + 83804324556.

It is an arithmetic number, because the mean of its divisors is an integer number (173093111136).

Almost surely, 2^{146908979411040} is an apocalyptic number.

146908979411040 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 146908979411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348955712050176).

146908979411040 is an abundant number, since it is smaller than the sum of its proper divisors (551002444689312).

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

146908979411040 is a wasteful number, since it uses less digits than its factorization.

146908979411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 146908979411040 in words is "one hundred forty-six trillion, nine hundred eight billion, nine hundred seventy-nine million, four hundred eleven thousand, forty".