45664621002 has 432 divisors, whose sum is σ = 138510328320. Its totient is φ = 10630414080.

The previous prime is 45664621001. The next prime is 45664621087. The reversal of 45664621002 is 20012646654.

45664621002 is a `hidden beast` number, since 4 + 5 + 6 + 646 + 2 + 1 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×45664621002² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45664621001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 95332999 + ... + 95333477.

It is an arithmetic number, because the mean of its divisors is an integer number (320625760).

Almost surely, 2^45664621002 is an apocalyptic number.

45664621002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45664621002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69255164160).

45664621002 is an abundant number, since it is smaller than the sum of its proper divisors (92845707318).

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

45664621002 is a wasteful number, since it uses less digits than its factorization.

45664621002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 45664 and 621002, that added together give a palindrome (666666).

The spelling of 45664621002 in words is "forty-five billion, six hundred sixty-four million, six hundred twenty-one thousand, two".