246440113920 has 2592 divisors, whose sum is σ = 1209162898944. Its totient is φ = 45519667200.

The previous prime is 246440113891. The next prime is 246440113921. The reversal of 246440113920 is 29311044642.

246440113920 is a `hidden beast` number, since 2 + 4 + 644 + 0 + 1 + 1 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246440113921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3470987485 + ... + 3470987555.

It is an arithmetic number, because the mean of its divisors is an integer number (466498032).

Almost surely, 2^246440113920 is an apocalyptic number.

246440113920 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 246440113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604581449472).

246440113920 is an abundant number, since it is smaller than the sum of its proper divisors (962722785024).

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

246440113920 is a wasteful number, since it uses less digits than its factorization.

246440113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 246440113920 in words is "two hundred forty-six billion, four hundred forty million, one hundred thirteen thousand, nine hundred twenty".