451740005116164 has 36 divisors (see below), whose sum is σ = 1201998259229040. Its totient is φ = 142654738457520.

The previous prime is 451740005116163. The next prime is 451740005116189. The reversal of 451740005116164 is 461611500047154.

451740005116164 is a `hidden beast` number, since 4 + 5 + 1 + 74 + 0 + 0 + 0 + 511 + 6 + 1 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×451740005116164³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (451740005116163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330219301302 + ... + 330219302669.

It is an arithmetic number, because the mean of its divisors is an integer number (33388840534140).

Almost surely, 2^{451740005116164} is an apocalyptic number.

It is an amenable number.

451740005116164 is an abundant number, since it is smaller than the sum of its proper divisors (750258254112876).

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

451740005116164 is a wasteful number, since it uses less digits than its factorization.

451740005116164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660438604000 (or 660438603995 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 451740005116164 in words is "four hundred fifty-one trillion, seven hundred forty billion, five million, one hundred sixteen thousand, one hundred sixty-four".