146324058199956 has 288 divisors, whose sum is σ = 469945685221376. Its totient is φ = 37343672352000.

The previous prime is 146324058199951. The next prime is 146324058200039. The reversal of 146324058199956 is 659991850423641.

146324058199956 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 2 + 405 + 81 + 9 + 99 + 56 = 666.

It is a super-2 number, since 2×146324058199956² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146324058199951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1983453351 + ... + 1983527121.

Almost surely, 2^{146324058199956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146324058199956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234972842610688).

146324058199956 is an abundant number, since it is smaller than the sum of its proper divisors (323621627021420).

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

146324058199956 is a wasteful number, since it uses less digits than its factorization.

146324058199956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93363 (or 93358 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 146324058199956 in words is "one hundred forty-six trillion, three hundred twenty-four billion, fifty-eight million, one hundred ninety-nine thousand, nine hundred fifty-six".