461723010050016 has 864 divisors, whose sum is σ = 1641812129193600. Its totient is φ = 121671716474880.

The previous prime is 461723010049991. The next prime is 461723010050021. The reversal of 461723010050016 is 610050010327164.

461723010050016 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 2 + 30 + 100 + 500 + 16 = 666.

It is a super-2 number, since 2×461723010050016² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1820741406 + ... + 1820994978.

It is an arithmetic number, because the mean of its divisors is an integer number (1900245519900).

Almost surely, 2^{461723010050016} 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 461723010050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820906064596800).

461723010050016 is an abundant number, since it is smaller than the sum of its proper divisors (1180089119143584).

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

461723010050016 is a wasteful number, since it uses less digits than its factorization.

461723010050016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253824 (or 253800 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 461723010050016 in words is "four hundred sixty-one trillion, seven hundred twenty-three billion, ten million, fifty thousand, sixteen".