45738083754 has 128 divisors (see below), whose sum is σ = 116981452800. Its totient is φ = 13100693760.

The previous prime is 45738083753. The next prime is 45738083771.

It is a happy number.

45738083754 is nontrivially palindromic in base 10.

45738083754 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45738083754.

It is not an unprimeable number, because it can be changed into a prime (45738083753) 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, 5221042 + ... + 5229794.

It is an arithmetic number, because the mean of its divisors is an integer number (913917600).

Almost surely, 2^45738083754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45738083754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58490726400).

45738083754 is an abundant number, since it is smaller than the sum of its proper divisors (71243369046).

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

45738083754 is a wasteful number, since it uses less digits than its factorization.

45738083754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9257 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 45738083754 in words is "forty-five billion, seven hundred thirty-eight million, eighty-three thousand, seven hundred fifty-four".