461513413452 has 96 divisors (see below), whose sum is σ = 1325943926272. Its totient is φ = 121665286656.

The previous prime is 461513413411. The next prime is 461513413453. The reversal of 461513413452 is 254314315164.

It is a super-2 number, since 2×461513413452² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 461513413452.

It is not an unprimeable number, because it can be changed into a prime (461513413453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2472888 + ... + 2652960.

Almost surely, 2^461513413452 is an apocalyptic number.

461513413452 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 461513413452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662971963136).

461513413452 is an abundant number, since it is smaller than the sum of its proper divisors (864430512820).

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

461513413452 is a wasteful number, since it uses less digits than its factorization.

461513413452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182447 (or 182445 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The spelling of 461513413452 in words is "four hundred sixty-one billion, five hundred thirteen million, four hundred thirteen thousand, four hundred fifty-two".