146679997793952 has 384 divisors, whose sum is σ = 443144062771200. Its totient is φ = 41614278451200.

The previous prime is 146679997793941. The next prime is 146679997793957. The reversal of 146679997793952 is 259397799976641.

It is not an unprimeable number, because it can be changed into a prime (146679997793957) by changing a digit.

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, 113793636124 + ... + 113793637412.

It is an arithmetic number, because the mean of its divisors is an integer number (1154020996800).

Almost surely, 2^{146679997793952} is an apocalyptic number.

146679997793952 is a gapful number since it is divisible by the number (12) 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 146679997793952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221572031385600).

146679997793952 is an abundant number, since it is smaller than the sum of its proper divisors (296464064977248).

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

146679997793952 is a wasteful number, since it uses less digits than its factorization.

146679997793952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3172 counting only the distinct ones).

The product of its digits is 87496446240, while the sum is 93.

The spelling of 146679997793952 in words is "one hundred forty-six trillion, six hundred seventy-nine billion, nine hundred ninety-seven million, seven hundred ninety-three thousand, nine hundred fifty-two".