45211533640 has 192 divisors, whose sum is σ = 128875244400. Its totient is φ = 14147223552.

The previous prime is 45211533613. The next prime is 45211533673. The reversal of 45211533640 is 4633511254.

It can be written as a sum of positive squares in 8 ways, for example, as 1410903844 + 43800629796 = 37562^2 + 209286^2 .

It is a super-3 number, since 3×45211533640³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45211533596 and 45211533605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2257752 + ... + 2277688.

Almost surely, 2^45211533640 is an apocalyptic number.

45211533640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45211533640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64437622200).

45211533640 is an abundant number, since it is smaller than the sum of its proper divisors (83663710760).

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

45211533640 is a wasteful number, since it uses less digits than its factorization.

45211533640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20064 (or 20053 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 45211533640 in words is "forty-five billion, two hundred eleven million, five hundred thirty-three thousand, six hundred forty".