45774788747754 has 256 divisors, whose sum is σ = 106957562849280. Its totient is φ = 12932244864000.

The previous prime is 45774788747713. The next prime is 45774788747767.

It is a happy number.

45774788747754 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×45774788747754² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2491678189 + ... + 2491696559.

It is an arithmetic number, because the mean of its divisors is an integer number (417802979880).

Almost surely, 2^{45774788747754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45774788747754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53478781424640).

45774788747754 is an abundant number, since it is smaller than the sum of its proper divisors (61182774101526).

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

45774788747754 is a wasteful number, since it uses less digits than its factorization.

45774788747754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18917.

The product of its digits is 48189030400, while the sum is 84.

The spelling of 45774788747754 in words is "forty-five trillion, seven hundred seventy-four billion, seven hundred eighty-eight million, seven hundred forty-seven thousand, seven hundred fifty-four".