45012222451000 has 256 divisors, whose sum is σ = 122053269461760. Its totient is φ = 15217768857600.

The previous prime is 45012222450997. The next prime is 45012222451033. The reversal of 45012222451000 is 15422221054.

It is a happy number.

It is a super-2 number, since 2×45012222451000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 45012222451000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3041975602 + ... + 3041990398.

It is an arithmetic number, because the mean of its divisors is an integer number (476770583835).

Almost surely, 2^{45012222451000} is an apocalyptic number.

45012222451000 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 45012222451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61026634730880).

45012222451000 is an abundant number, since it is smaller than the sum of its proper divisors (77041047010760).

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

45012222451000 is a wasteful number, since it uses less digits than its factorization.

45012222451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20851 (or 20837 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 45012222451000 its reverse (15422221054), we get a palindrome (45027644672054).

The spelling of 45012222451000 in words is "forty-five trillion, twelve billion, two hundred twenty-two million, four hundred fifty-one thousand".