45432140544 has 720 divisors, whose sum is σ = 164539710720. Its totient is φ = 12192768000.

The previous prime is 45432140543. The next prime is 45432140609. The reversal of 45432140544 is 44504123454.

45432140544 is a `hidden beast` number, since 4 + 54 + 3 + 21 + 40 + 544 = 666.

45432140544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45432140499 and 45432140508.

It is not an unprimeable number, because it can be changed into a prime (45432140543) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181004419 + ... + 181004669.

It is an arithmetic number, because the mean of its divisors is an integer number (228527376).

Almost surely, 2^45432140544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45432140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82269855360).

45432140544 is an abundant number, since it is smaller than the sum of its proper divisors (119107570176).

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

45432140544 is a wasteful number, since it uses less digits than its factorization.

45432140544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 45432140544 its reverse (44504123454), we get a palindrome (89936263998).

The spelling of 45432140544 in words is "forty-five billion, four hundred thirty-two million, one hundred forty thousand, five hundred forty-four".