461612777472 has 912 divisors, whose sum is σ = 1750028063040. Its totient is φ = 119899422720.

The previous prime is 461612777443. The next prime is 461612777477. The reversal of 461612777472 is 274777216164.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

461612777472 is a `hidden beast` number, since 4 + 6 + 161 + 2 + 7 + 7 + 7 + 472 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (461612777477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41964797947 + ... + 41964797957.

It is an arithmetic number, because the mean of its divisors is an integer number (1918890420).

Almost surely, 2^461612777472 is an apocalyptic number.

461612777472 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 461612777472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875014031520).

461612777472 is an abundant number, since it is smaller than the sum of its proper divisors (1288415285568).

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

461612777472 is an frugal number, since it uses more digits than its factorization.

461612777472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 461612777472 in words is "four hundred sixty-one billion, six hundred twelve million, seven hundred seventy-seven thousand, four hundred seventy-two".