146879249880 has 256 divisors, whose sum is σ = 497819520000. Its totient is φ = 34341386240.

The previous prime is 146879249779. The next prime is 146879249921. The reversal of 146879249880 is 88942978641.

It is a super-2 number, since 2×146879249880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50489866 + ... + 50492774.

It is an arithmetic number, because the mean of its divisors is an integer number (1944607500).

Almost surely, 2^146879249880 is an apocalyptic number.

146879249880 is a gapful number since it is divisible by the number (10) 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 146879249880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248909760000).

146879249880 is an abundant number, since it is smaller than the sum of its proper divisors (350940270120).

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

146879249880 is a wasteful number, since it uses less digits than its factorization.

146879249880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 66.

The spelling of 146879249880 in words is "one hundred forty-six billion, eight hundred seventy-nine million, two hundred forty-nine thousand, eight hundred eighty".