146205911917779 has 48 divisors (see below), whose sum is σ = 232872734255616. Its totient is φ = 81316894680000.

The previous prime is 146205911917771. The next prime is 146205911917799. The reversal of 146205911917779 is 977719119502641.

It is not a de Polignac number, because 146205911917779 - 2³ = 146205911917771 is a prime.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (146205911917771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57207097 + ... + 59708154.

It is an arithmetic number, because the mean of its divisors is an integer number (4851515296992).

Almost surely, 2^{146205911917779} is an apocalyptic number.

146205911917779 is a deficient number, since it is larger than the sum of its proper divisors (86666822337837).

146205911917779 is a wasteful number, since it uses less digits than its factorization.

146205911917779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116915496 (or 116915489 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 69.

The spelling of 146205911917779 in words is "one hundred forty-six trillion, two hundred five billion, nine hundred eleven million, nine hundred seventeen thousand, seven hundred seventy-nine".