10045275070464 has 224 divisors, whose sum is σ = 29846504838240. Its totient is φ = 3338913447936.

The previous prime is 10045275070463. The next prime is 10045275070471. The reversal of 10045275070464 is 46407057254001.

10045275070464 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 52 + 75 + 0 + 70 + 464 = 666.

It is a super-3 number, since 3×10045275070464³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045275070463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78013624 + ... + 78142280.

Almost surely, 2^{10045275070464} 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 10045275070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923252419120).

10045275070464 is an abundant number, since it is smaller than the sum of its proper divisors (19801229767776).

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

10045275070464 is an equidigital number, since it uses as much as digits as its factorization.

10045275070464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129045 (or 129015 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 10045275070464 in words is "ten trillion, forty-five billion, two hundred seventy-five million, seventy thousand, four hundred sixty-four".