45347276601 has 81 divisors (see below), whose sum is σ = 75077116933. Its totient is φ = 27368205480.

The previous prime is 45347276599. The next prime is 45347276621. The reversal of 45347276601 is 10667274354.

The square root of 45347276601 is 212949.

It is a perfect power (a square), and thus also a powerful number.

45347276601 is a `hidden beast` number, since 4 + 5 + 34 + 7 + 2 + 7 + 6 + 601 = 666.

45347276601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 45347276601 - 2¹ = 45347276599 is a prime.

It is a super-2 number, since 2×45347276601² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45347276621) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 189737440 + ... + 189737678.

Almost surely, 2^45347276601 is an apocalyptic number.

45347276601 is the 212949-th square number.

45347276601 is the 106475-th centered octagonal number.

It is an amenable number.

45347276601 is a deficient number, since it is larger than the sum of its proper divisors (29729840332).

45347276601 is an frugal number, since it uses more digits than its factorization.

45347276601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45347276601 in words is "forty-five billion, three hundred forty-seven million, two hundred seventy-six thousand, six hundred one".