461612452653300 has 576 divisors, whose sum is σ = 1533997933848576. Its totient is φ = 106314540288000.

The previous prime is 461612452653281. The next prime is 461612452653377. The reversal of 461612452653300 is 3356254216164.

It is a self number, because there is not a number n which added to its sum of digits gives 461612452653300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 751648159 + ... + 752262041.

It is an arithmetic number, because the mean of its divisors is an integer number (2663190857376).

Almost surely, 2^{461612452653300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461612452653300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766998966924288).

461612452653300 is an abundant number, since it is smaller than the sum of its proper divisors (1072385481195276).

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

461612452653300 is a wasteful number, since it uses less digits than its factorization.

461612452653300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614120 (or 614113 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 461612452653300 in words is "four hundred sixty-one trillion, six hundred twelve billion, four hundred fifty-two million, six hundred fifty-three thousand, three hundred".