45016511364 has 54 divisors (see below), whose sum is σ = 125076880110. Its totient is φ = 13641365760.

The previous prime is 45016511357. The next prime is 45016511369. The reversal of 45016511364 is 46311561054.

45016511364 is a `hidden beast` number, since 450 + 165 + 11 + 36 + 4 = 666.

45016511364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39860122500 + 5156388864 = 199650^2 + 71808^2 .

It is a super-2 number, since 2×45016511364² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45016511369) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5162829 + ... + 5171540.

Almost surely, 2^45016511364 is an apocalyptic number.

45016511364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45016511364 is an abundant number, since it is smaller than the sum of its proper divisors (80060368746).

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

45016511364 is a wasteful number, since it uses less digits than its factorization.

45016511364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334401 (or 10334385 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45016511364 in words is "forty-five billion, sixteen million, five hundred eleven thousand, three hundred sixty-four".