146059798872960 has 2048 divisors, whose sum is σ = 636917553561600. Its totient is φ = 30876603383808.

The previous prime is 146059798872931. The next prime is 146059798872979. The reversal of 146059798872960 is 69278897950641.

146059798872960 is a `hidden beast` number, since 1 + 460 + 5 + 9 + 7 + 9 + 88 + 72 + 9 + 6 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146059798872960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27943329867 + ... + 27943335093.

It is an arithmetic number, because the mean of its divisors is an integer number (310994899200).

Almost surely, 2^{146059798872960} is an apocalyptic number.

146059798872960 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 146059798872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318458776780800).

146059798872960 is an abundant number, since it is smaller than the sum of its proper divisors (490857754688640).

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

146059798872960 is a wasteful number, since it uses less digits than its factorization.

146059798872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 146059798872960 in words is "one hundred forty-six trillion, fifty-nine billion, seven hundred ninety-eight million, eight hundred seventy-two thousand, nine hundred sixty".