146861585881920 has 2016 divisors, whose sum is σ = 687615064980480. Its totient is φ = 28408174018560.

The previous prime is 146861585881909. The next prime is 146861585881973. The reversal of 146861585881920 is 29188585168641.

146861585881920 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 6 + 1 + 5 + 8 + 588 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1080487884 + ... + 1080623796.

It is an arithmetic number, because the mean of its divisors is an integer number (341078901280).

Almost surely, 2^{146861585881920} is an apocalyptic number.

146861585881920 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 146861585881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343807532490240).

146861585881920 is an abundant number, since it is smaller than the sum of its proper divisors (540753479098560).

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

146861585881920 is a wasteful number, since it uses less digits than its factorization.

146861585881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136013 (or 135993 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 72.

The spelling of 146861585881920 in words is "one hundred forty-six trillion, eight hundred sixty-one billion, five hundred eighty-five million, eight hundred eighty-one thousand, nine hundred twenty".