146991203591688 has 256 divisors, whose sum is σ = 413294040230400. Its totient is φ = 48400849797120.

The previous prime is 146991203591669. The next prime is 146991203591719. The reversal of 146991203591688 is 886195302199641.

146991203591688 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 9 + 1 + 20 + 3 + 591 + 6 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31563494256 + ... + 31563498912.

It is an arithmetic number, because the mean of its divisors is an integer number (1614429844650).

Almost surely, 2^{146991203591688} is an apocalyptic number.

146991203591688 is a gapful number since it is divisible by the number (18) 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 146991203591688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206647020115200).

146991203591688 is an abundant number, since it is smaller than the sum of its proper divisors (266302836638712).

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

146991203591688 is a wasteful number, since it uses less digits than its factorization.

146991203591688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277 (or 7267 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 146991203591688 in words is "one hundred forty-six trillion, nine hundred ninety-one billion, two hundred three million, five hundred ninety-one thousand, six hundred eighty-eight".