461242467150624 has 336 divisors, whose sum is σ = 1363853513907360. Its totient is φ = 153480062822400.

The previous prime is 461242467150617. The next prime is 461242467150637. The reversal of 461242467150624 is 426051764242164.

461242467150624 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 4 + 2 + 4 + 6 + 7 + 1 + 5 + 0 + 624 = 666.

It is a super-2 number, since 2×461242467150624² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 87076166344 + ... + 87076171640.

It is an arithmetic number, because the mean of its divisors is an integer number (4059087839010).

Almost surely, 2^{461242467150624} 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 461242467150624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681926756953680).

461242467150624 is an abundant number, since it is smaller than the sum of its proper divisors (902611046756736).

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

461242467150624 is an equidigital number, since it uses as much as digits as its factorization.

461242467150624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 461242467150624 in words is "four hundred sixty-one trillion, two hundred forty-two billion, four hundred sixty-seven million, one hundred fifty thousand, six hundred twenty-four".