45443433434454 has 96 divisors (see below), whose sum is σ = 111014473261440. Its totient is φ = 13769002566000.

The previous prime is 45443433434449. The next prime is 45443433434527.

45443433434454 is a `hidden beast` number, since 4 + 54 + 43 + 43 + 34 + 34 + 454 = 666.

45443433434454 is nontrivially palindromic in base 10.

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 45443433434454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51909789 + ... + 52777959.

It is an arithmetic number, because the mean of its divisors is an integer number (1156400763140).

Almost surely, 2^{45443433434454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45443433434454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55507236630720).

45443433434454 is an abundant number, since it is smaller than the sum of its proper divisors (65571039826986).

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

45443433434454 is a wasteful number, since it uses less digits than its factorization.

45443433434454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876215 (or 876198 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

It can be divided in two parts, 4544343 and 3434454, that added together give a palindrome (7978797).

The spelling of 45443433434454 in words is "forty-five trillion, four hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, four hundred fifty-four".