246230906880 has 768 divisors, whose sum is σ = 952042291200. Its totient is φ = 53137244160.

The previous prime is 246230906861. The next prime is 246230906893. The reversal of 246230906880 is 88609032642.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286647891 + ... + 286648749.

It is an arithmetic number, because the mean of its divisors is an integer number (1239638400).

Almost surely, 2^246230906880 is an apocalyptic number.

246230906880 is a gapful number since it is divisible by the number (20) 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 246230906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476021145600).

246230906880 is an abundant number, since it is smaller than the sum of its proper divisors (705811384320).

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

246230906880 is a wasteful number, since it uses less digits than its factorization.

246230906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 246230906880 in words is "two hundred forty-six billion, two hundred thirty million, nine hundred six thousand, eight hundred eighty".