461158665120 has 384 divisors, whose sum is σ = 1659740544000. Its totient is φ = 119517880320.

The previous prime is 461158665113. The next prime is 461158665127. The reversal of 461158665120 is 21566851164.

461158665120 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 586 + 65 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461158665113) and next prime (461158665127).

It is a super-2 number, since 2×461158665120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (461158665127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47640441 + ... + 47650119.

It is an arithmetic number, because the mean of its divisors is an integer number (4322241000).

Almost surely, 2^461158665120 is an apocalyptic number.

461158665120 is a gapful number since it is divisible by the number (40) 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 461158665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829870272000).

461158665120 is an abundant number, since it is smaller than the sum of its proper divisors (1198581878880).

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

461158665120 is a wasteful number, since it uses less digits than its factorization.

461158665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013 (or 9999 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 461158665120 in words is "four hundred sixty-one billion, one hundred fifty-eight million, six hundred sixty-five thousand, one hundred twenty".