246972413952 has 576 divisors, whose sum is σ = 835269926400. Its totient is φ = 69469470720.

The previous prime is 246972413939. The next prime is 246972413971. The reversal of 246972413952 is 259314279642.

It is a happy number.

246972413952 is a `hidden beast` number, since 2 + 4 + 6 + 9 + 7 + 241 + 395 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272295483 + ... + 272296389.

It is an arithmetic number, because the mean of its divisors is an integer number (1450121400).

Almost surely, 2^246972413952 is an apocalyptic number.

246972413952 is a gapful number since it is divisible by the number (22) 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 246972413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417634963200).

246972413952 is an abundant number, since it is smaller than the sum of its proper divisors (588297512448).

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

246972413952 is a wasteful number, since it uses less digits than its factorization.

246972413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1019 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 246972413952 in words is "two hundred forty-six billion, nine hundred seventy-two million, four hundred thirteen thousand, nine hundred fifty-two".