146910795840 has 336 divisors, whose sum is σ = 539271862272. Its totient is φ = 36579852288.

The previous prime is 146910795827. The next prime is 146910795847. The reversal of 146910795840 is 48597019641.

146910795840 is a `hidden beast` number, since 1 + 46 + 9 + 10 + 7 + 9 + 584 + 0 = 666.

It is a super-2 number, since 2×146910795840² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146910795847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6206107 + ... + 6229733.

Almost surely, 2^146910795840 is an apocalyptic number.

146910795840 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 146910795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269635931136).

146910795840 is an abundant number, since it is smaller than the sum of its proper divisors (392361066432).

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

146910795840 is a wasteful number, since it uses less digits than its factorization.

146910795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23794 (or 23781 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 146910795840 in words is "one hundred forty-six billion, nine hundred ten million, seven hundred ninety-five thousand, eight hundred forty".