461025348737352 has 256 divisors, whose sum is σ = 1403847515750400. Its totient is φ = 123232641373440.

The previous prime is 461025348737321. The next prime is 461025348737381. The reversal of 461025348737352 is 253737843520164.

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, 621434077 + ... + 622175507.

It is an arithmetic number, because the mean of its divisors is an integer number (5483779358400).

Almost surely, 2^{461025348737352} is an apocalyptic number.

461025348737352 is a gapful number since it is divisible by the number (42) 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 461025348737352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701923757875200).

461025348737352 is an abundant number, since it is smaller than the sum of its proper divisors (942822167013048).

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

461025348737352 is a wasteful number, since it uses less digits than its factorization.

461025348737352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743896 (or 743892 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 60.

The spelling of 461025348737352 in words is "four hundred sixty-one trillion, twenty-five billion, three hundred forty-eight million, seven hundred thirty-seven thousand, three hundred fifty-two".