146390879701 has 48 divisors (see below), whose sum is σ = 173073942720. Its totient is φ = 123480403200.

The previous prime is 146390879681. The next prime is 146390879729. The reversal of 146390879701 is 107978093641.

It is not a de Polignac number, because 146390879701 - 2⁵ = 146390879669 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146390879101) 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, 9631630 + ... + 9646816.

It is an arithmetic number, because the mean of its divisors is an integer number (3605707140).

Almost surely, 2^146390879701 is an apocalyptic number.

146390879701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146390879701 is a deficient number, since it is larger than the sum of its proper divisors (26683063019).

146390879701 is a wasteful number, since it uses less digits than its factorization.

146390879701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15346 (or 15335 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The spelling of 146390879701 in words is "one hundred forty-six billion, three hundred ninety million, eight hundred seventy-nine thousand, seven hundred one".