416670272145 has 48 divisors (see below), whose sum is σ = 725921099280. Its totient is φ = 221090867712.

The previous prime is 416670272141. The next prime is 416670272149. The reversal of 416670272145 is 541272076614.

416670272145 is a `hidden beast` number, since 416 + 6 + 70 + 27 + 2 + 145 = 666.

It is an interprime number because it is at equal distance from previous prime (416670272141) and next prime (416670272149).

It can be written as a sum of positive squares in 8 ways, for example, as 23149926801 + 393520345344 = 152151^2 + 627312^2 .

It is not a de Polignac number, because 416670272145 - 2² = 416670272141 is a prime.

It is a super-2 number, since 2×416670272145² (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 a self number, because there is not a number n which added to its sum of digits gives 416670272145.

It is not an unprimeable number, because it can be changed into a prime (416670272141) 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, 6919507 + ... + 6979463.

It is an arithmetic number, because the mean of its divisors is an integer number (15123356235).

Almost surely, 2^416670272145 is an apocalyptic number.

416670272145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416670272145 is a deficient number, since it is larger than the sum of its proper divisors (309250827135).

416670272145 is a wasteful number, since it uses less digits than its factorization.

416670272145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60754 (or 60751 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 416670272145 in words is "four hundred sixteen billion, six hundred seventy million, two hundred seventy-two thousand, one hundred forty-five".