146639361960 has 768 divisors, whose sum is σ = 626707065600. Its totient is φ = 30213679104.

The previous prime is 146639361943. The next prime is 146639361961. The reversal of 146639361960 is 69163936641.

146639361960 is a `hidden beast` number, since 1 + 4 + 66 + 393 + 6 + 196 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 146639361897 and 146639361906.

It is not an unprimeable number, because it can be changed into a prime (146639361961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29579802 + ... + 29584758.

It is an arithmetic number, because the mean of its divisors is an integer number (816024825).

Almost surely, 2^146639361960 is an apocalyptic number.

146639361960 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 146639361960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313353532800).

146639361960 is an abundant number, since it is smaller than the sum of its proper divisors (480067703640).

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

146639361960 is a wasteful number, since it uses less digits than its factorization.

146639361960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 146639361960 in words is "one hundred forty-six billion, six hundred thirty-nine million, three hundred sixty-one thousand, nine hundred sixty".