45134032944 has 320 divisors, whose sum is σ = 158029885440. Its totient is φ = 10718991360.

The previous prime is 45134032943. The next prime is 45134032987. The reversal of 45134032944 is 44923043154.

It is a happy number.

It is a super-3 number, since 3×45134032944³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45134032943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5136747 + ... + 5145525.

It is an arithmetic number, because the mean of its divisors is an integer number (493843392).

Almost surely, 2^45134032944 is an apocalyptic number.

45134032944 is a gapful number since it is divisible by the number (44) 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 45134032944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79014942720).

45134032944 is an abundant number, since it is smaller than the sum of its proper divisors (112895852496).

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

45134032944 is a wasteful number, since it uses less digits than its factorization.

45134032944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 45134032944 in words is "forty-five billion, one hundred thirty-four million, thirty-two thousand, nine hundred forty-four".