45445153572 has 288 divisors, whose sum is σ = 153055929600. Its totient is φ = 11353830912.

The previous prime is 45445153571. The next prime is 45445153597. The reversal of 45445153572 is 27535154454.

45445153572 is a `hidden beast` number, since 4 + 5 + 4 + 45 + 1 + 535 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (45445153571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3541504 + ... + 3554312.

It is an arithmetic number, because the mean of its divisors is an integer number (531444200).

Almost surely, 2^45445153572 is an apocalyptic number.

45445153572 is a gapful number since it is divisible by the number (42) 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 45445153572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76527964800).

45445153572 is an abundant number, since it is smaller than the sum of its proper divisors (107610776028).

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

45445153572 is a wasteful number, since it uses less digits than its factorization.

45445153572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880 (or 12853 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 45.

The spelling of 45445153572 in words is "forty-five billion, four hundred forty-five million, one hundred fifty-three thousand, five hundred seventy-two".